Summability of multiple Fourier series of functions of bounded generalized variation

U. Goginava; A. Sahakian

doi:10.1134/S0081543813010094

Summability of multiple Fourier series of functions of bounded generalized variation

U. Goginava, A. Sahakian

Research output: Contribution to journal › Article › peer-review

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Abstract

The paper is devoted to summability problems for multiple Fourier series of functions of bounded generalized variation. We find necessary and sufficient conditions on a sequence Λ = {λ_n} that guarantee the convergence of the Cesàro means of multiple Fourier series of functions of bounded Λ-variation.

Original language	English
Pages (from-to)	144-155
Number of pages	12
Journal	Proceedings of the Steklov Institute of Mathematics
Volume	280
Issue number	1
DOIs	https://doi.org/10.1134/S0081543813010094
Publication status	Published - 2013
Externally published	Yes

ASJC Scopus subject areas

Mathematics (miscellaneous)

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abstract = "The paper is devoted to summability problems for multiple Fourier series of functions of bounded generalized variation. We find necessary and sufficient conditions on a sequence Λ = {λn} that guarantee the convergence of the Ces{\`a}ro means of multiple Fourier series of functions of bounded Λ-variation.",

author = "U. Goginava and A. Sahakian",

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Summability of multiple Fourier series of functions of bounded generalized variation

Abstract

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