Properties of general Fourier coefficients of differentiable functions

DOI10.1515/GMJ-2022-2183OpenAlexW4286203098MaRDI QIDQ2101300

Vakhtang Tsagareishvili

Publication date: 5 December 2022

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

Full work available at URL: https://doi.org/10.1515/gmj-2022-2183

zbMATH Keywords

differentiable functionsfunctions of bounded variationgeneral orthonormal systemssequences of bounded variationgeneral Fourier coefficients

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and divergence of series and sequences of functions (40A30) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Functions of bounded variation, generalizations (26A45)

Cites Work

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• Fourier-Haar coefficients of continuous functions
• Some particular properties of general orthonormal systems
• Fourier coefficients of continuous functions
• Variation of Fourier-Haar coefficients
• Some properties of general orthonormal systems
• General orthonormal systems and absolute convergence

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