Absolute convergence of double series of Fourier-Haar coefficients for functions of bounded \(p\)-variation

DOI10.3103/S1066369X12060011zbMath1261.42046MaRDI QIDQ1759284

Boris I. Golubov

Publication date: 20 November 2012

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

zbMATH Keywords

double Haar-Fourier series\(p\)-variation of functions of two variables

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Functions of bounded variation, generalizations (26A45)

Related Items (5)

Sharp estimates of deviations from Fourier-Haar sums for continuous functions of two variables ⋮ On a method for solving a mixed boundary value problem for a parabolic equation using modified sinc-approximation operators ⋮ Multimodular spaces and their properties ⋮ On generalization of Haar system and other function systems in spaces \(E_\phi\) ⋮ Fourier-type series with integer coefficients in systems of contractions and shifts of a single function in spaces \(L_p\), \(p \geq 1\)

Cites Work

• On absolute convergence of Haar series
• On absolute convergence of multiple Fourier series
• On the uniform summability of multiple Walsh-Fourier series
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