Continuity in \(\Lambda\)-variation and summation of multiple Fourier series by Cesàro methods

DOI10.1134/S0001434611090185zbMath1284.42016MaRDI QIDQ2435797

A. N. Bakhvalov

Publication date: 20 February 2014

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

zbMATH Keywords

bounded variationmultiple Fourier seriesCesàro meanPringsheim convergence\(\Lambda\)-variationWaterman class of functions

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Cites Work

• On the summability of Fourier series of functions of Λ-bounded variation
• Continuity in $ \Lambda$-variation of functions of several variables and convergence of multiple Fourier series
• On convergence of Fourier series of functions of generalized bounded variation
• Unnamed Item

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