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On the Approximative Properties of Fourier Series in Laguerre–Sobolev Polynomials
Siberian Mathematical Journal ( IF 0.5 ) Pub Date : 2024-02-07 , DOI: 10.1134/s003744662401004x R. M. Gadzhimirzaev
中文翻译:
拉盖尔-索博列夫多项式中傅立叶级数的近似性质
更新日期:2024-02-08
Siberian Mathematical Journal ( IF 0.5 ) Pub Date : 2024-02-07 , DOI: 10.1134/s003744662401004x R. M. Gadzhimirzaev
Considering the approximation of a function \( f \) from a Sobolev space by the partial sums of Fourier series in a system of Sobolev orthogonal polynomials generated by classical Laguerre polynomials, we obtain an estimate for the convergence rate of the partial sums to \( f \).
中文翻译:
拉盖尔-索博列夫多项式中傅立叶级数的近似性质
考虑到索博列夫空间中的函数 \( f \)通过经典拉盖尔多项式生成的索博列夫正交多项式系统中傅立叶级数的部分和进行逼近,我们获得了部分和收敛于 \( F \)。