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An extensive study on parameterized inequalities for conformable fractional integrals

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Abstract

This paper proves an equality for the case of differentiable convex functions including the conformable fractional integrals. By using this equality, we establish several parameterized inequalities with the help of the conformable fractional integrals. Several inequalities are obtained by taking advantage of the convexity, the Hölder inequality, and the power mean inequality. Furthermore, we present previously achieved results and new results by using special cases of the obtained theorems.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey

    Fatih Hezenci & Hüseyin Budak

Authors
  1. Fatih Hezenci
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  2. Hüseyin Budak
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Contributions

Conceptualization, FH and HB; investigation, FH and HB; methodology, FH; validation, HB; visualization, HB and FH; writing-original draft, FH; writing-review and editing, HB All authors read and approved the final manuscript.

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Correspondence to Fatih Hezenci.

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Hezenci, F., Budak, H. An extensive study on parameterized inequalities for conformable fractional integrals. Anal.Math.Phys. 13, 82 (2023). https://doi.org/10.1007/s13324-023-00846-2

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  • DOI: https://doi.org/10.1007/s13324-023-00846-2

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