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Lower bounds on the minimum eigenvalue of the Fan product of several M-matrices J. Inequal. Appl. (IF 1.6) Pub Date : 2024-04-25 Qin Zhong
The concept of the Fan product of several M-matrices is introduced. Furthermore, two new lower bounds of the minimum eigenvalue of the Fan product of several M-matrices are proposed. These obtained new lower bounds generalize and improve some earlier findings. One example is presented to illustrate the precision of the given lower bounds.
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η-Stability for stochastic functional differential equation driven by time-changed Brownian motion J. Inequal. Appl. (IF 1.6) Pub Date : 2024-04-23 Xianping He, Yaru Zhang, Yue Wang, Zhi Li, Liping Xu
This manuscript focuses on a class of stochastic functional differential equations driven by time-changed Brownian motion. By utilizing the Lyapunov method, we capture some sufficient conditions to ensure that the solution for the considered equation is η-stable in the pth moment sense. Subsequently, we present some new criteria of the η-stability in mean square by using time-changed Itô formula and
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S-Pata-type contraction: a new approach to fixed-point theory with an application J. Inequal. Appl. (IF 1.6) Pub Date : 2024-04-18 Deep Chand, Yumnam Rohen, Naeem Saleem, Maggie Aphane, Asima Razzaque
In this paper, we introduce new types of contraction mappings named S-Pata-type contraction mapping and Generalized S-Pata-type contraction mapping in the framework of S-metric space. Then, we prove some new fixed-point results for S-Pata-type contraction mappings and Generalized S-Pata-type contraction mappings. To support our results, we provide examples to illustrate our findings and also apply
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Fixed point results involving a finite family of enriched strictly pseudocontractive and pseudononspreading mappings J. Inequal. Appl. (IF 1.6) Pub Date : 2024-04-16 Imo Kalu Agwu, Hüseyin Işık, Donatus Ikechi Igbokwe
In this study, we introduce a method for finding common fixed points of a finite family of $(\eta _{i}, k_{i})$ -enriched strictly pseudocontractive (ESPC) maps and $(\eta _{i}, \beta _{i})$ -enriched strictly pseudononspreading (ESPN) maps in the setting of real Hilbert spaces. Further, we prove the strong convergence theorem of the proposed method under mild conditions on the control parameters.
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Novel results for separate families of fuzzy-dominated mappings satisfying advanced locally contractions in b-multiplicative metric spaces with applications J. Inequal. Appl. (IF 1.6) Pub Date : 2024-04-16 Tahair Rasham, Romana Qadir, Fady Hasan, R. P. Agarwal, Wasfi Shatanawi
The objective of this research is to present new fixed point theorems for two separate families of fuzzy-dominated mappings. These mappings must satisfy a unique locally contraction in a complete b-multiplicative metric space. Also, we have obtained novel results for families of fuzzy-dominated mappings on a closed ball that meet the requirements of a generalized locally contraction. This research
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Sharp coefficient inequalities of starlike functions connected with secant hyperbolic function J. Inequal. Appl. (IF 1.6) Pub Date : 2024-04-12 Mohsan Raza, Khadija Bano, Qin Xin, Fairouz Tchier, Sarfraz Nawaz Malik
This article comprises the study of class $\mathcal{S}_{E}^{\ast }$ that represents the class of normalized analytic functions f satisfying ${\varsigma \mathsf{f}}^{\prime }(z)/\mathsf{f}( {\varsigma })\prec \sec h ( \varsigma ) $ . The geometry of functions of class $\mathcal{S}_{E}^{\ast }$ is star-shaped, which is confined in the symmetric domain of a secant hyperbolic function. We find sharp coefficient
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Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents J. Inequal. Appl. (IF 1.6) Pub Date : 2024-04-11 Salah Boulaaras, Abdelbaki Choucha, Djamel Ouchenane, Rashid Jan
In this work, we consider a quasilinear system of viscoelastic equations with dispersion, source, distributed delay, and variable exponents. Under a suitable hypothesis the blow-up and growth of solutions are proved, and by using an integral inequality due to Komornik the general decay result is obtained in the case of absence of the source term $f_{1}=f_{2}=0$ .
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Correction to: New refinements of the Cauchy–Bunyakovsky in equality J. Inequal. Appl. (IF 1.6) Pub Date : 2024-04-09 Saeed Montazeri
Correction to: J. Inequal. Appl. 2023, 161 (2023). https://doi.org/10.1186/s13660-023-03074-1 Following publication of the original article [1], the author reported an error in the affiliation. The revised affiliation is indicated hereafter. The incorrect affiliation reads: 1Faculty of Mechanical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran The correct affiliation should read:
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A new computational approach for optimal control of switched systems J. Inequal. Appl. (IF 1.6) Pub Date : 2024-04-09 Xi Zhu, Yanqin Bai, Changjun Yu, Kok Lay Teo
The combination of the time-scaling transformation and control parameterization has proven to be an effective approach in addressing optimal control problems involving switching systems with predefined subsystem sequences. However, this approach has certain limitations. First, the number of control switchings is required to be no less than the number of subsystem switchings. Second, the switching of
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On the multiparameterized fractional multiplicative integral inequalities J. Inequal. Appl. (IF 1.6) Pub Date : 2024-04-08 Mohammed Bakheet Almatrafi, Wedad Saleh, Abdelghani Lakhdari, Fahd Jarad, Badreddine Meftah
We introduce a novel multiparameterized fractional multiplicative integral identity and utilize it to derive a range of inequalities for multiplicatively s-convex mappings in connection with different quadrature rules involving one, two, and three points. Our results cover both new findings and established ones, offering a holistic framework for comprehending these inequalities. To validate our outcomes
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Analytical and geometrical approach to the generalized Bessel function J. Inequal. Appl. (IF 1.6) Pub Date : 2024-04-08 Teodor Bulboacă, Hanaa M. Zayed
In continuation of Zayed and Bulboacă work in (J. Inequal. Appl. 2022:158, 2022), this paper discusses the geometric characterization of the normalized form of the generalized Bessel function defined by $$\begin{aligned} \mathrm{V}_{\rho,r}(z):=z+\sum_{k=1}^{\infty} \frac{(-r)^{k}}{4^{k}(1)_{k}(\rho )_{k}}z^{k+1}, \quad z\in \mathbb{U}, \end{aligned}$$ for $\rho, r\in \mathbb{C}^{\ast}:=\mathbb{C}\setminus
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Multiplicity of solutions for fractional \(p ( z ) \)-Kirchhoff-type equation J. Inequal. Appl. (IF 1.6) Pub Date : 2024-04-04 Tahar Bouali, Rafik Guefaifia, Salah Boulaaras
This work deals with the existence and multiplicity of solutions for a class of variable-exponent equations involving the Kirchhoff term in variable-exponent Sobolev spaces according to some conditions, where we used the sub-supersolutions method combined with the mountain pass theory.
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Hyperstability of Cauchy and Jensen functional equations in 2-normed spaces J. Inequal. Appl. (IF 1.6) Pub Date : 2024-04-03 Abbas Najati, Yavar Khedmati Yengejeh, Kandhasamy Tamilvanan, Masho Jima Kabeto
In this article, with simple and short proofs without applying fixed point theorems, some hyperstability results corresponding to the functional equations of Cauchy and Jensen are presented in 2-normed spaces. We also obtain some results on hyperstability for the general linear functional equation $f(ax+by)=Af(x)+Bf(y)+C$ .
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Ground state normalized solutions to the Kirchhoff equation with general nonlinearities: mass supercritical case J. Inequal. Appl. (IF 1.6) Pub Date : 2024-04-03 Qun Wang, Aixia Qian
We study the following nonlinear mass supercritical Kirchhoff equation: $$ - \biggl(a+b \int _{\mathbb{R}^{N}} \vert \nabla u \vert ^{2} \biggr) \triangle u+ \mu u=f(u) \quad \text{in } {\mathbb{R}^{N}}, $$ where $a ,b,m>0$ are prescribed, and the normalized constrain $\int _{\mathbb{R}^{N}}|u|^{2}\,dx =m$ is satisfied in the case $1\leq N\leq 3$ . The nonlinearity f is more general and satisfies weak
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Some m-fold symmetric bi-univalent function classes and their associated Taylor-Maclaurin coefficient bounds J. Inequal. Appl. (IF 1.6) Pub Date : 2024-04-02 Hari Mohan Srivastava, Pishtiwan Othman Sabir, Sevtap Sümer Eker, Abbas Kareem Wanas, Pshtiwan Othman Mohammed, Nejmeddine Chorfi, Dumitru Baleanu
The Ruscheweyh derivative operator is used in this paper to introduce and investigate interesting general subclasses of the function class $\Sigma_{m}$ of m-fold symmetric bi-univalent analytic functions. Estimates of the initial Taylor-Maclaurin coefficients $\vert a_{m+1} \vert $ and $\vert a_{2 m+1} \vert $ are obtained for functions of the subclasses introduced in this study, and the consequences
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The discrete analogue of high-order differential operator and its application to finding coefficients of optimal quadrature formulas J. Inequal. Appl. (IF 1.6) Pub Date : 2024-04-02 K. M. Shadimetov, J. R. Davronov
The discrete analog of the differential operator plays a significant role in constructing interpolation, quadrature, and cubature formulas. In this work, we consider a discrete analog $D_{m}(h\beta )$ of the differential operator $\frac{d^{2m}}{dx^{2m}}+1$ designed specifically for even natural numbers m. The operator’s effectiveness in constructing an optimal quadrature formula in the $L_{2}^{(2,0)}(0
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Bullen-type inequalities for twice-differentiable functions by using conformable fractional integrals J. Inequal. Appl. (IF 1.6) Pub Date : 2024-04-02 Fatih Hezenci, Hüseyin Budak
In this paper, we prove an equality for twice-differentiable convex functions involving the conformable fractional integrals. Moreover, several Bullen-type inequalities are established for twice-differentiable functions. More precisely, conformable fractional integrals are used to derive such inequalities. Furthermore, sundry significant inequalities are obtained by taking advantage of the convexity
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A surface area formula for compact hypersurfaces in \(\mathbb{R}^{n}\) J. Inequal. Appl. (IF 1.6) Pub Date : 2024-04-02 Yen-Chang Huang
The classical Cauchy surface area formula states that the surface area of the boundary $\partial K=\Sigma $ of any n-dimensional convex body in the n-dimensional Euclidean space $\mathbb{R}^{n}$ can be obtained by the average of the projected areas of Σ along all directions in $\mathbb{S}^{n-1}$ . In this note, we generalize the formula to the boundary of arbitrary n-dimensional submanifold in $\mathbb{R}^{n}$
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Matrix representation of Toeplitz operators on Newton spaces J. Inequal. Appl. (IF 1.6) Pub Date : 2024-03-29 Eungil Ko, Ji Eun Lee, Jongrak Lee
In this paper, we study several properties of an orthonormal basis $\{N_{n}(z)\}$ for the Newton space $N^{2}({\mathbb{P}})$ . In particular, we investigate the product of $N_{m}$ and $N_{m}$ and the orthogonal projection P of $\overline{N_{n}}N_{m}$ that maps from $L^{2}(\mathbb{P})$ onto $N^{2}(\mathbb{P})$ . Moreover, we find the matrix representation of Toeplitz operators with respect to such an
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On the intermixed method for mixed variational inequality problems: another look and some corrections J. Inequal. Appl. (IF 1.6) Pub Date : 2024-03-27 Satit Saejung
We explore the intermixed method for finding a common element of the intersection of the solution set of a mixed variational inequality and the fixed point set of a nonexpansive mapping. We point out that Khuangsatung and Kangtunyakarn’s statement [J. Inequal. Appl. 2023:1, 2023] regarding the resolvent utilized in their paper is not correct. To resolve this gap, we employ the epigraphical projection
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On an m-dimensional system of quantum inclusions by a new computational approach and heatmap J. Inequal. Appl. (IF 1.6) Pub Date : 2024-03-26 Mehran Ghaderi, Shahram Rezapour
Recent research indicates the need for improved models of physical phenomena with multiple shocks. One of the newest methods is to use differential inclusions instead of differential equations. In this work, we intend to investigate the existence of solutions for an m-dimensional system of quantum differential inclusions. To ensure the existence of the solution of inclusions, researchers typically
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Strong convergence of split equality variational inequality, variational inclusion, and multiple sets fixed point problems in Hilbert spaces with application J. Inequal. Appl. (IF 1.6) Pub Date : 2024-03-25 Charu Batra, Renu Chugh, Rajeev Kumar, Khaled Suwais, Sally Almanasra, Nabil Mlaiki
This paper introduces an innovative inertial simultaneous cyclic iterative algorithm designed to address a range of mathematical problems within the realm of split equality variational inequalities. Specifically, the algorithm accommodates finite families of split equality variational inequality problems, infinite families of split equality variational inclusion problems, and multiple-sets split equality
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Weak-type regularity for the Bergman projection over N-dimensional classical Hartogs triangles J. Inequal. Appl. (IF 1.6) Pub Date : 2024-03-21 Yi Li, Mengjiao Wang
In this paper, we study the weak-type regularity of the Bergman projection on n-dimensional classical Hartogs triangles. We extend the results of Huo–Wick on the 2-dimensional classical Hartogs triangle to the n-dimensional classical Hartogs triangle and show that the Bergman projection is of weak type at the upper endpoint of $L^{q}$ -boundedness but not of weak type at the lower endpoint of $L^{q}$
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Modified inertial viscosity extrapolation method for solving quasi-monotone variational inequality and fixed point problems in real Hilbert spaces J. Inequal. Appl. (IF 1.6) Pub Date : 2024-03-21 Jacob A. Abuchu, Austine E. Ofem, Hüseyin Işık, Godwin C. Ugwunnadi, Ojen K. Narain
In this paper, we introduce and study a viscous-type extrapolation algorithm for finding a solution of the variational inequality problem and a fixed point constraint of quasi-nonexpansive mappings under the scope of real Hilbert spaces when the underlying cost operator is quasi-monotone. The method involves inertial viscosity approximation and a constructed self-adjustable step size condition that
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Approximation by modified \((p,q)\)-gamma-type operators J. Inequal. Appl. (IF 1.6) Pub Date : 2024-03-21 Naim Latif Braha
The main object of this paper is to construct a new class of modified $(p,q)$ -Gamma-type operators. For this new class of operators, in section one, the general moments are find; in section two, the Korovkin-type theorem and some direct results are proved by considering the modulus of continuity and modulus of smoothness and their behavior in Lipschitz-type spaces. In section three, some results in
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On the existence, uniqueness, stability, and numerical aspects for a novel mathematical model of HIV/AIDS transmission by a fractal fractional order derivative J. Inequal. Appl. (IF 1.6) Pub Date : 2024-03-20 Yanru Wu, Monireh Nosrati Sahlan, Hojjat Afshari, Maryam Atapour, Ardashir Mohammadzadeh
In this study, we explore a mathematical model of the transmission of HIV/AIDS. The model incorporates a fractal fractional order derivative with a power-law type kernel. We prove the existence and uniqueness of a solution for the model and establish the stability conditions by employing Banach’s contraction principle and a generalized α-ψ-Geraghty type contraction. We perform stability analysis based
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On the qualitative behaviors of stochastic delay integro-differential equations of second order J. Inequal. Appl. (IF 1.6) Pub Date : 2024-03-19 Ayman M. Mahmoud, Cemil Tunç
In this paper, we investigate the sufficient conditions that guarantee the stability, continuity, and boundedness of solutions for a type of second-order stochastic delay integro-differential equation (SDIDE). To demonstrate the main results, we employ a Lyapunov functional. An example is provided to demonstrate the applicability of the obtained result, which includes the results of this paper and
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Harary and hyper-Wiener indices of some graph operations J. Inequal. Appl. (IF 1.6) Pub Date : 2024-03-15 S. Balamoorthy, T. Kavaskar, K. Vinothkumar
In this paper, we obtain the Harary index and the hyper-Wiener index of the H-generalized join of graphs and the generalized corona product of graphs. As a consequence, we deduce some of the results in (Das et al. in J. Inequal. Appl. 2013:339, 2013) and (Khalifeh et al. in Comput. Math. Appl. 56:1402–1407, 2008). Moreover, we calculate the Harary index and the hyper-Wiener index of the ideal-based
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Variable Herz–Morrey estimates for rough fractional Hausdorff operator J. Inequal. Appl. (IF 1.6) Pub Date : 2024-03-12 Amjad Hussain, Ilyas Khan, Abdullah Mohamed
As a first attempt, we obtain the boundedness of the rough fractional Hausdorff operator on variable exponent Herz-type spaces. The method used in this paper enables us to study the operator on some other function spaces with variable exponents.
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Geometric characterization of the generalized Lommel–Wright function in the open unit disc J. Inequal. Appl. (IF 1.6) Pub Date : 2024-03-12 Hanaa M. Zayed, Teodor Bulboacă
The present investigation aims to examine the geometric properties of the normalized form of the combination of generalized Lommel–Wright function $\mathfrak{J}_{\lambda ,\mu}^{\nu ,m}(z):=\Gamma ^{m}(\lambda +1) \Gamma (\lambda +\mu +1)2^{2\lambda +\mu}z^{1-(\nu /2)-\lambda} \mathcal{J}_{\lambda ,\mu }^{\nu ,m}(\sqrt{z})$ , where the function $\mathcal{J}_{\lambda ,\mu}^{\nu ,m}$ satisfies the differential
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Well-posed fixed point results and data dependence problems in controlled metric spaces J. Inequal. Appl. (IF 1.6) Pub Date : 2024-03-07 D. Sagheer, S. Batul, A. Daim, A. Saghir, H. Aydi, S. Mansour, W. Kallel
The present research is aimed to analyze the existence of strict fixed points (SFPs) and fixed points of multivalued generalized contractions on the platform of controlled metric spaces (CMSs). Wardowski-type multivalued nonlinear operators have been introduced employing auxiliary functions, modifying a new contractive requirement form. Well-posedness of obtained fixed point results is also established
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The learning performance of the weak rescaled pure greedy algorithms J. Inequal. Appl. (IF 1.6) Pub Date : 2024-03-04 Qin Guo, Xianghua Liu, Peixin Ye
We investigate the regression problem in supervised learning by means of the weak rescaled pure greedy algorithm (WRPGA). We construct learning estimator by applying the WRPGA and deduce the tight upper bounds of the K-functional error estimate for the corresponding greedy learning algorithms in Hilbert spaces. Satisfactory learning rates are obtained under two prior assumptions on the regression function
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The best constant for inequality involving the sum of the reciprocals and product of positive numbers with unit sum J. Inequal. Appl. (IF 1.6) Pub Date : 2024-03-01 Yagub N. Aliyev
In this paper, we study a special algebraic inequality containing a parameter, the sum of reciprocals and the product of positive real numbers whose sum is 1. Using a new optimization argument the best values of the parameter are determined. In the case of three numbers the algebraic inequality has some interesting geometric applications involving a generalization of Euler’s inequality about the ratio
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Some existence results for a differential equation and an inclusion of fractional order via (convex) F-contraction mapping J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-27 Vahid Roomi, Hojjat Afshari, Sabileh Kalantari
The existence of solutions for a class of μ-Caputo fractional differential equations and an inclusion problem equipped with nonlocal μ-integral boundary conditions are investigated. We use F-contraction, convex F-contraction, and some consequences to achieve the desired goals. Finally, some examples are provided to illustrate the results.
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A Pexider system of additive functional equations in Banach algebras J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-23 Mehdi Dehghanian, Yamin Sayyari, Siriluk Donganont, Choonkil Park
In this paper, we solve the system of functional equations $$\begin{aligned} \textstyle\begin{cases} f(x+y)+g(y-x)=2f(x), \\ g(x+y)-f(y-x)=2g(y) \end{cases}\displaystyle \end{aligned}$$ and we investigate the stability of g-derivations in Banach algebras.
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Approximation with Szász-Chlodowsky operators employing general-Appell polynomials J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-20 Nusrat Raza, Manoj Kumar, M. Mursaleen
This article explores a Chlodowsky-type extension of Szász operators using the general-Appell polynomials. The convergence properties of these operators are established by employing the universal Korovkin-type property, and the order of approximation is determined using the classical modulus of continuity. Additionally, the weighted $\mathfrak{B}$ -statistical convergence and statistically weighted
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Generalized integral Jensen inequality J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-20 Saeed Nazari Pasari, Ali Barani, Naser Abbasi
In this paper we introduce necessary and sufficient conditions for a real-valued function to be preinvex. Some properties of preinvex functions and new versions of Jensen’s integral type inequality in this setting are given. Several examples are also involved.
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An application of decision theory on the approximation of a generalized Apollonius-type quadratic functional equation J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-20 Azam Ahadi, Reza Saadati, Tofigh Allahviranloo, Donal O’Regan
To make better decisions on approximation, we may need to increase reliable and useful information on different aspects of approximation. To enhance information about the quality and certainty of approximating the solution of an Apollonius-type quadratic functional equation, we need to measure both the quality and the certainty of the approximation and the maximum errors. To measure the quality of
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Approximating fixed points of weak enriched contractions using Kirk’s iteration scheme of higher order J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-14 Mi Zhou, Naeem Saleem, Mujahid Abbas
In this paper, we introduce two types of weak enriched contractions, namely weak enriched $\mathcal{F}$ -contraction, weak enriched $\mathcal{F^{\prime}}$ -contraction, and k-fold averaged mapping based on Kirk’s iterative algorithm of order k. The types of contractions introduced herein unify, extend, and generalize several existing classes of enriched and weak enriched contraction mappings. Moreover
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Generalized fixed points for fuzzy and nonfuzzy mappings in strong b-metric spaces J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-14 Shazia Kanwal, Hüseyin Işık, Sana Waheed
The main purpose of this research article is to generalize Kannan-type fixed-point (FP) theorems for single-valued mappings and Chatterjea-type FP result for fuzzy mappings (FMs) in the context of complete strong b-metric spaces (MSs). Moreover, fuzzy FPs are established for Suzuki-type fuzzy contraction in the setting of complete strong b-MSs. The conclusions are supported by nontrivial examples to
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Viscosity extragradient with modified inertial method for solving equilibrium problems and fixed point problem in Hadamard manifold J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-13 P. V. Ndlovu, L. O. Jolaoso, M. Aphane, H. A. Abass
In this article, we propose a viscosity extragradient algorithm together with an inertial extrapolation method for approximating the solution of pseudomonotone equilibrium and fixed point problem of a nonexpansive mapping in the setting of a Hadamard manifold. We prove that the sequence generated by our iterative method converges to a solution of the above problems under some mild conditions. Finally
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A note on Lototsky–Bernstein bases J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-06 Xiao-Wei Xu, Xin Yu, Jia-Lin Cui, Qing-Bo Cai, Wen-Tao Cheng
In this note, we study some approximation properties on a class of special Lototsky–Bernstein bases. We focus on approximation of $|x|$ on $[-1,1]$ by an approximation process generated from fixed points on Lototsky–Bernstein bases. Our first result shows that the approximation procedure $p_{n}(x)$ to $|x|$ preserves good shapes on $[-1,1]$ . Moreover, some convergence results and inequalities are
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Multiple positive solutions for Schrödinger-Poisson system with singularity on the Heisenberg group J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-05 Guaiqi Tian, Yucheng An, Hongmin Suo
In this work, we study the following Schrödinger-Poisson system $$ \textstyle\begin{cases} -\Delta _{H}u+\mu \phi u=\lambda u^{-\gamma}, &\text{in } \Omega , \\ -\Delta _{H}\phi =u^{2}, &\text{in } \Omega , \\ u>0, &\text{in } \Omega , \\ u=\phi =0, &\text{on } \partial \Omega , \end{cases} $$ where $\Delta _{H}$ is the Kohn-Laplacian on the first Heisenberg group $\mathbb{H}^{1}$ , and $\Omega \subset
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Higher order \((n,m)\)-Drazin normal operators J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-01 Hadi Obaid AlShammari
The purpose of this paper is to introduce and study the structure of p-tuple of $(n,m)$ - $\mathcal{D}$ -normal operators. This is a generalization of the class of p-tuple of n-normal operators. We consider a generalization of these single variable n- $\mathcal{D}$ -normal and $(n,m)$ - $\mathcal{D}$ -normal operators and explore some of their basic properties.
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Inverse logarithmic coefficient bounds for starlike functions subordinated to the exponential functions J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-31 Lei Shi, Muhammad Abbas, Mohsan Raza, Muhammad Arif, Poom Kumam
In recent years, many subclasses of univalent functions, directly or not directly related to the exponential functions, have been introduced and studied. In this paper, we consider the class of $\mathcal{S}^{\ast}_{e}$ for which $zf^{\prime}(z)/f(z)$ is subordinate to $e^{z}$ in the open unit disk. The classic concept of Hankel determinant is generalized by replacing the inverse logarithmic coefficient
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Faber polynomial coefficient inequalities for bi-Bazilevič functions associated with the Fibonacci-number series and the square-root functions J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-31 H. M. Srivastava, Shahid Khan, Sarfraz Nawaz Malik, Fairouz Tchier, Afis Saliu, Qin Xin
Two new subclasses of the class of bi-Bazilevič functions, which are related to the Fibonacci-number series and the square-root functions, are introduced and studied in this article. Under a special choice of the parameter involved, these two classes of Bazilevič functions reduce to two new subclasses of star-like biunivalent functions related with the Fibonacci-number series and the square-root functions
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A regularization method for solving the G-variational inequality problem and fixed-point problems in Hilbert spaces endowed with graphs J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-30 Wongvisarut Khuangsatung, Akarate Singta, Atid Kangtunyakarn
This article considers and investigates a variational inequality problem and fixed-point problems in real Hilbert spaces endowed with graphs. A regularization method is proposed for solving a G-variational inequality problem and a common fixed-point problem of a finite family of G-nonexpansive mappings in the framework of Hilbert spaces endowed with graphs, which extends the work of Tiammee et al.
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Hankel determinant for a general subclass of m-fold symmetric biunivalent functions defined by Ruscheweyh operators J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-30 Pishtiwan Othman Sabir, Ravi P. Agarwal, Shabaz Jalil Mohammedfaeq, Pshtiwan Othman Mohammed, Nejmeddine Chorfi, Thabet Abdeljawad
Making use of the Hankel determinant and the Ruscheweyh derivative, in this work, we consider a general subclass of m-fold symmetric normalized biunivalent functions defined in the open unit disk. Moreover, we investigate the bounds for the second Hankel determinant of this class and some consequences of the results are presented. In addition, to demonstrate the accuracy on some functions and conditions
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Some multidimensional fixed point theorems for nonlinear contractions in C-distance spaces with applications J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-30 Maliha Rashid, Naeem Saleem, Rabia Bibi, Reny George
In this manuscript, we use the concept of multidimensional fixed point in a generalized space, namely, C-distance space with some nonlinear contraction conditions, such as Jaggi- and Dass-Gupta-type contractions. We provide results with a Jaggi-type hybrid contraction for the mentioned space. Moreover, we use control functions to get the desired results. After each theorem, we compare our results with
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On a Duffing-type oscillator differential equation on the transition to chaos with fractional q-derivatives J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-25 Mohamed Houas, Mohammad Esmael Samei, Shyam Sundar Santra, Jehad Alzabut
In this paper, by applying fractional quantum calculus, we study a nonlinear Duffing-type equation with three sequential fractional q-derivatives. We prove the existence and uniqueness results by using standard fixed-point theorems (Banach and Schaefer fixed-point theorems). We also discuss the Ulam–Hyers and the Ulam–Hyers–Rassias stabilities of the mentioned Duffing problem. Finally, we present an
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Weighted estimates for fractional bilinear Hardy operators on variable exponent Morrey–Herz space J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-25 Muhammad Asim, Irshad Ayoob, Amjad Hussain, Nabil Mlaiki
In this article, we analyze the boundedness for the fractional bilinear Hardy operators on variable exponent weighted Morrey–Herz spaces ${M\dot{K}^{\alpha (\cdot ),\lambda}_{q,p(\cdot)}(w)}$ . Similar estimates are obtained for their commutators when the symbol functions belong to BMO space with variable exponents.
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A nonuniform local limit theorem for Poisson binomial random variables via Stein’s method J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-24 Graeme Auld, Kritsana Neammanee
We prove a nonuniform local limit theorem concerning approximation of the point probabilities $P(S=k)$ , where $S=\sum_{i=1}^{n}X_{i}$ , and $X_{1},\ldots ,X_{n}$ are independent Bernoulli random variables with possibly different success probabilities. Our proof uses Stein’s method, in particular, the zero bias transformation and concentration inequality approaches.
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A new reverse Mulholland’s inequality with one partial sum in the kernel J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-24 Xianyong Huang, Ricai Luo, Bicheng Yang, Xingshou Huang
By means of the techniques of real analysis, applying some basic inequalities and formulas, a new reverse Mulholland’s inequality with one partial sum in the kernel is given. We obtain the equivalent conditions of the parameters related to the best value in the new inequality. As applications, we reduce to the equivalent forms and a few inequalities for particular parameters.
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A matrix acting between Fock spaces J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-23 Zhengyuan Zhuo, Dongxing Li, Tiaoying Zeng
If $\mathcal{H}_{\nu}=(\nu _{n,k})_{n,k\geq 0}$ is the matrix with entries $\nu _{n,k}=\int _{[0,\infty )}\frac{ t^{n+k}}{n!}\,d\nu (t)$ , where ν is a nonnegative Borel measure on the interval $[0,\infty )$ , the matrix $\mathcal{H}_{\nu}$ acts on the space of all entire functions $f(z) =\sum_{n=0}^{\infty} a_{n} z^{n}$ and induces formally the operator in the following way: $$ \mathcal{H}_{\nu}(f)
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Inertial Halpern-type iterative algorithm for the generalized multiple-set split feasibility problem in Banach spaces J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-19 Mohammad Eslamian
In this paper, we study the generalized multiple-set split feasibility problem including the common fixed-point problem for a finite family of generalized demimetric mappings and the monotone inclusion problem in 2-uniformly convex and uniformly smooth Banach spaces. We propose an inertial Halpern-type iterative algorithm for obtaining a solution of the problem and derive a strong convergence theorem
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Approximation by bivariate Bernstein–Kantorovich–Stancu operators that reproduce exponential functions J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-19 Lian-Ta Su, Kadir Kanat, Melek Sofyalioğlu Aksoy, Merve Kisakol
In this study, we construct a Stancu-type generalization of bivariate Bernstein–Kantorovich operators that reproduce exponential functions. Then, we investigate some approximation results for these operators. We use test functions to prove a Korovkin-type convergence theorem. Then, we show the rate of convergence by the modulus of continuity and give a Voronovskaya-type theorem. We give a covergence
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The infimum values of two probability functions for the Gamma distribution J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-17 Ping Sun, Ze-Chun Hu, Wei Sun
Let α, β be positive real numbers and let $X_{\alpha ,\beta}$ be a Gamma random variable with shape parameter α and scale parameter β. We study infimum values of the function $(\alpha ,\beta )\mapsto P\{X_{\alpha ,\beta}\le \kappa E[X_{\alpha ,\beta}] \}$ for any fixed $\kappa >0$ and the function $(\alpha ,\beta )\mapsto P\{|X_{\alpha ,\beta}-E[X_{\alpha ,\beta}]| \le \sqrt{\operatorname{Var}(X_{\alpha
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Best proximity points for alternative p-contractions J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-16 Mi Zhou, Nicolae Adrian Secelean, Naeem Saleem, Mujahid Abbas
Cyclic mappings describe fixed paths for which each point is sequentially transmitted from one set to another. Cyclic mappings satisfying certain cyclic contraction conditions have been used to obtain the best proximity points, which constitute a suitable framework for the mirror reflection model. Alternative contraction mappings introduced by Chen (Symmetry 11:750, 2019) built a new model containing
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Some variants of the hybrid extragradient algorithm in Hilbert spaces J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-12 Yasir Arfat, Poom Kumam, Muhammad Aqeel Ahmad Khan, Thidaporn Seangwattana, Zaffar Iqbal
This paper provides convergence analysis of some variants of the hybrid extragradient algorithm (HEA) in Hilbert spaces. We employ the HEA to compute the common solution of the equilibrium problem and split fixed-point problem associated with the finite families of $\Bbbk $ -demicontractive mappings. We also incorporate appropriate numerical results concerning the viability of the proposed variants
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New midpoint-type inequalities in the context of the proportional Caputo-hybrid operator J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-10 İzzettin Demir, Tuba Tunç
Fractional calculus is a crucial foundation in mathematics and applied sciences, serving as an extremely valuable tool. Besides, the new hybrid fractional operator, which combines proportional and Caputo operators, offers better applications in numerous fields of mathematics and computer sciences. Due to its wide range of applications, we focus on the proportional Caputo-hybrid operator in this research