On the convergence of negative-order Cesàro means of Fourier and Fourier-Walsh series

DOI10.1134/S0001434622090152zbMath1504.42006MaRDI QIDQ2090548

Martin G. Grigoryan

Publication date: 25 October 2022

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

convergenceWalsh systemCesàro meansFourier coefficientstrigonometric Fourier series

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Cites Work

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• On the uniform convergence of negative order Cesaro means of Fourier series
• On the universal and strong \((L^1,L^\infty)\)-property related to Fourier-Walsh series
• Convergence of Fourier series in classical systems
• APPLICATION OF CESÀRO SUMMABILITY METHODS OF NEGATIVE ORDER TO TRIGONOMETRIC FOURIER SERIES OF SUMMABLE AND SQUARE SUMMABLE FUNCTIONS
• Application of negative order Cesàro summability methods to Fourier–Walsh series of functions from $L^{\infty }[0, 1$]
• PROPERTIES OF CESÀRO MEANS OF NEGATIVE ORDER AND OF CERTAIN OTHER $T$-MEANS FOR FOURIER SERIES OF CONTINUOUS FUNCTIONS

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