A summation method for trigonometric Fourier series based on sinc-approximations

DOI10.1007/s10958-023-06394-1OpenAlexW4365516350MaRDI QIDQ2699010

A. Yu. Trynin

Publication date: 25 April 2023

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06394-1

Mathematics Subject Classification ID

Harmonic analysis in one variable (42Axx) Boundary value problems for ordinary differential equations (34Bxx) Approximations and expansions (41Axx)

Uses Software

• Chebfun

Cites Work

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• Localization results for the non-truncated max-product sampling operators based on Fejér and sinc-type kernels
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• Absence of stability of interpolation with respect to eigenfunctions of the Sturm-Liouville problem
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• Approximation by Max-Product Type Operators
• On divergence of sinc-approximations everywhere on $(0,\pi)$
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• Smoothness of functions and Fourier coefficients
• The Lebesgue Constant for Sinc Approximations
• A generalization of the Whittaker-Kotel'nikov-Shannon sampling theorem for continuous functions on a closed interval
• Tests for pointwise and uniform convergence of sinc approximations of continuous functions on a closed interval
• LINEAR SUMMATION METHODS AND THE ABSOLUTE CONVERGENCE OF FOURIER SERIES

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