Absolute summability of Fourier series of functions in the class \(\text{Lip}(\alpha,p)\)

DOI10.1007/BF01156606zbMath0749.42006OpenAlexW2052186718MaRDI QIDQ1177792

A. P. Pavlov

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf01156606

zbMATH Keywords

Walsh systemabsolute summabilityFourier seriesclass Lip\((\alpha,p)\)

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (1)

Conditions under which the sums of absolute values of blocks in the Fourier-Walsh series for functions of bounded variation belong to spaces \(L^p\)

Cites Work

• Unnamed Item
• Discrete imbedding theorems and Lebesgue constants
• On absolute summation of Fourier series by subsequences
• Summability of multiple Fourier series. Growth of Lebesgue constants
• On the Walsh Functions

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