The variation of general Fourier coefficients

DOI10.7169/FACM/2002zbMath1530.42004OpenAlexW4381623307MaRDI QIDQ6146688

Vakhtang Tsagareishvili

Publication date: 15 January 2024

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7169/facm/2002

zbMATH Keywords

functions of bounded variationgeneral orthonormal systemssequences of bounded variationgeneral Fourier coefficientsabsolute continuous functions

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Cites Work

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• Fourier-Haar coefficients of continuous functions
• The variation of general Fourier coefficients of Lipschitz class functions
• Fourier coefficients of continuous functions
• Smooth functions and general Fourier coefficients
• Variation of Fourier-Haar coefficients
• General orthonormal systems and absolute convergence
• On the Walsh Functions

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