On the convergence of multiple Fourier series of functions of bounded partial generalized variation

Ushangi Goginava; Artur Sahakian

doi:10.1007/s10476-013-0103-5

On the convergence of multiple Fourier series of functions of bounded partial generalized variation

Ushangi Goginava, Artur Sahakian

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

4 Citations (Scopus)

Abstract

The convergence of multiple Fourier series of functions of bounded partial Λ-variation is investigated. The sufficient and necessary conditions on the sequence Λ = {λ_n} are found for the convergence of multiple Fourier series of functions of bounded partial Λ-variation.

Original language	English
Pages (from-to)	45-56
Number of pages	12
Journal	Analysis Mathematica
Volume	39
Issue number	1
DOIs	https://doi.org/10.1007/s10476-013-0103-5
Publication status	Published - Mar 2013
Externally published	Yes

ASJC Scopus subject areas

Analysis
General Mathematics

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10.1007/s10476-013-0103-5

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abstract = "The convergence of multiple Fourier series of functions of bounded partial Λ-variation is investigated. The sufficient and necessary conditions on the sequence Λ = {λn} are found for the convergence of multiple Fourier series of functions of bounded partial Λ-variation.",

author = "Ushangi Goginava and Artur Sahakian",

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AB - The convergence of multiple Fourier series of functions of bounded partial Λ-variation is investigated. The sufficient and necessary conditions on the sequence Λ = {λn} are found for the convergence of multiple Fourier series of functions of bounded partial Λ-variation.

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On the convergence of multiple Fourier series of functions of bounded partial generalized variation

Abstract

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