Uniform summability of double Walsh-Fourier series of functions of bounded partial Λ-variation

Ushangi Goginava

doi:10.2478/s12175-014-0286-7

Uniform summability of double Walsh-Fourier series of functions of bounded partial Λ-variation

Ushangi Goginava

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

3 Citations (Scopus)

Abstract

The sufficient and necessary conditions on the sequence Λ = {λ_n} are found for the uniformly convergence of Cesàro means of negative order of cubic partial sums of double Walsh-Fourier series of functions of bounded partial Λ-variation.

Original language	English
Pages (from-to)	1451-1474
Number of pages	24
Journal	Mathematica Slovaca
Volume	64
Issue number	6
DOIs	https://doi.org/10.2478/s12175-014-0286-7
Publication status	Published - 2014
Externally published	Yes

Keywords

Cesàro means
generalized bounded variation
Walsh function

ASJC Scopus subject areas

General Mathematics

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10.2478/s12175-014-0286-7

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title = "Uniform summability of double Walsh-Fourier series of functions of bounded partial Λ-variation",

abstract = "The sufficient and necessary conditions on the sequence Λ = \{λn\} are found for the uniformly convergence of Ces{\`a}ro means of negative order of cubic partial sums of double Walsh-Fourier series of functions of bounded partial Λ-variation.",

keywords = "Ces{\`a}ro means, generalized bounded variation, Walsh function",

author = "Ushangi Goginava",

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T1 - Uniform summability of double Walsh-Fourier series of functions of bounded partial Λ-variation

AU - Goginava, Ushangi

PY - 2014

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N2 - The sufficient and necessary conditions on the sequence Λ = {λn} are found for the uniformly convergence of Cesàro means of negative order of cubic partial sums of double Walsh-Fourier series of functions of bounded partial Λ-variation.

AB - The sufficient and necessary conditions on the sequence Λ = {λn} are found for the uniformly convergence of Cesàro means of negative order of cubic partial sums of double Walsh-Fourier series of functions of bounded partial Λ-variation.

KW - Cesàro means

KW - generalized bounded variation

KW - Walsh function

UR - https://www.scopus.com/pages/publications/84920815638

UR - https://www.scopus.com/pages/publications/84920815638#tab=citedBy

U2 - 10.2478/s12175-014-0286-7

DO - 10.2478/s12175-014-0286-7

M3 - Article

AN - SCOPUS:84920815638

SN - 0139-9918

VL - 64

SP - 1451

EP - 1474

JO - Mathematica Slovaca

JF - Mathematica Slovaca

IS - 6

ER -

Uniform summability of double Walsh-Fourier series of functions of bounded partial Λ-variation

Abstract

Keywords

ASJC Scopus subject areas

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