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2023 | OriginalPaper | Chapter

Uniform Approximation of Functions Belonging to \(L[0,\infty )\)-Space Using \(C^{\gamma }.T\)-Means of Fourier–Laguerre Series

Authors : Sachin Devaiya, Shailesh Kumar Srivastava

Published in: Frontiers in Industrial and Applied Mathematics

Publisher: Springer Nature Singapore

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Abstract

Recently, Singh and Saini [Uniform approximation in \(L [0,\infty )\)-space by Ces\(\grave{a}\)ro means of Fourier–Laguerre series. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (2021)] determined the degree of approximation of functions f belonging to \(L[0,\infty )\) by Ces\(\grave{a}\)ro means of its Fourier–Laguerre series for any \(x>0\). In this paper, we obtain the error of approximation of functions \(f\in L[0,\infty )\) using product mean \(C^{\gamma }.T (\gamma \ge 1)\) of its Fourier–Laguerre series for any \(x>0\). Further, we also discuss some particular cases of \(C^{\gamma }.T\)-means.

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previous chapter Fractal Convolution Bessel Sequences on Rectangle

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Title: Uniform Approximation of Functions Belonging to -Space Using -Means of Fourier–Laguerre Series
Authors: Sachin Devaiya
Shailesh Kumar Srivastava
Publisher: Springer Nature Singapore
Book: Frontiers in Industrial and Applied Mathematics
Print ISBN: 978-981-19-7271-3

Electronic ISBN: 978-981-19-7272-0

Copyright Year: 2023
DOI: https://doi.org/10.1007/978-981-19-7272-0_12

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