Absolute convergence of Fourier series of functions of class $ \operatorname{Lip}1$ and of functions of bounded variation

DOI10.1070/IM2012v076n02ABEH002589zbMath1246.42004OpenAlexW78465256MaRDI QIDQ2889562

Vakhtang Tsagareishvili

Publication date: 8 June 2012

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2012v076n02abeh002589

zbMATH Keywords

bounded variationFourier seriesabsolute convergenceorthonormal system

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) 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)

Related Items

Absolute convergence factors of Lipschitz class functions for general Fourier series, Some properties of general Fourier coefficients of Lipschitz functions, Some properties of general orthonormal systems, Lipschitz class functions and their general Fourier coefficients, Unconditional convergence of Fourier series for functions of bounded variation, The Fourier coefficients of continuous functions with respect to certain orthonormal systems, Differentiable functions and their Fourier coefficients, Smooth functions and general Fourier coefficients, Optimal convergence factors for general Fourier coefficients, Functions of the Lipschitz class and summability of Fourier series, Convergence of general Fourier series of differentiable functions, General orthonormal systems and absolute convergence, Some particular properties of general orthonormal systems, Multipliers of absolute convergence