Summability of multiple Fourier series of functions of bounded generalized variation

DOI10.1134/S0081543813010094zbMath1290.42023OpenAlexW2078990828MaRDI QIDQ2446177

Ushangi Goginava, Artur A. Sahakyan

Publication date: 16 April 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543813010094

zbMATH Keywords

Cesàro meansmultiple Fourier seriesfunctions of bounded generalized variation

Mathematics Subject Classification ID

Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08)

Cites Work

• Uniform convergence of Cesàro means of negative order of double Walsh--Fourier series
• Waterman classes and spherical partial sums of double Fourier series
• On the convergence of double Fourier series of functions of bounded partial generalized variation
• Uniform convergence of Cesàro means of negative order of double trigonometric Fourier series
• 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
• Convergence of double Fourier series and $W$-classes
• On convergence of Fourier series of functions of generalized bounded variation
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