Pointwise convergence of Marcinkiewicz-Fejér means of double Vilenkin-Fourier series

U. Goginava

doi:10.3103/S1068362317050041

Pointwise convergence of Marcinkiewicz-Fejér means of double Vilenkin-Fourier series

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

Abstract

In this paper we give a characterization of points at which the Marcinkiewicz-Fejér means of double Vilenkin-Fourier series converge.

Original language	English
Pages (from-to)	242-253
Number of pages	12
Journal	Journal of Contemporary Mathematical Analysis
Volume	52
Issue number	5
DOIs	https://doi.org/10.3103/S1068362317050041
Publication status	Published - Sept 1 2017
Externally published	Yes

Keywords

Lebesgue point
Marcinkiewicz-Fejér mean
Pointwise summability
Vilenkin function

ASJC Scopus subject areas

Analysis
Control and Optimization
Applied Mathematics

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10.3103/S1068362317050041

Cite this

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title = "Pointwise convergence of Marcinkiewicz-Fej{\'e}r means of double Vilenkin-Fourier series",

abstract = "In this paper we give a characterization of points at which the Marcinkiewicz-Fej{\'e}r means of double Vilenkin-Fourier series converge.",

keywords = "Lebesgue point, Marcinkiewicz-Fej{\'e}r mean, Pointwise summability, Vilenkin function",

author = "U. Goginava",

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year = "2017",

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doi = "10.3103/S1068362317050041",

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AB - In this paper we give a characterization of points at which the Marcinkiewicz-Fejér means of double Vilenkin-Fourier series converge.

KW - Lebesgue point

KW - Marcinkiewicz-Fejér mean

KW - Pointwise summability

KW - Vilenkin function

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JO - Journal of Contemporary Mathematical Analysis

JF - Journal of Contemporary Mathematical Analysis

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Pointwise convergence of Marcinkiewicz-Fejér means of double Vilenkin-Fourier series

Abstract

Keywords

ASJC Scopus subject areas

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