Cesàro means with varying parameters of Walsh–Fourier series

György Gát; Ushangi Goginava

doi:10.1007/s10998-022-00499-x

Cesàro means with varying parameters of Walsh–Fourier series

György Gát, Ushangi Goginava

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

2 Citations (Scopus)

Abstract

In this paper we discuss some convergence and divergence properties of subsequences of Cesàro means with varying parameters of Walsh–Fourier series. We give necessary and sufficient conditions for the convergence regarding the weighted variation of numbers.

Original language	English
Pages (from-to)	57-74
Number of pages	18
Journal	Periodica Mathematica Hungarica
Volume	87
Issue number	1
DOIs	https://doi.org/10.1007/s10998-022-00499-x
Publication status	Published - Sept 2023

Keywords

Cesàro means
Convergence in norm
Walsh–Fourier series

ASJC Scopus subject areas

General Mathematics

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10.1007/s10998-022-00499-x

Cite this

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title = "Ces{\`a}ro means with varying parameters of Walsh–Fourier series",

abstract = "In this paper we discuss some convergence and divergence properties of subsequences of Ces{\`a}ro means with varying parameters of Walsh–Fourier series. We give necessary and sufficient conditions for the convergence regarding the weighted variation of numbers.",

keywords = "Ces{\`a}ro means, Convergence in norm, Walsh–Fourier series",

author = "Gy{\"o}rgy G{\'a}t and Ushangi Goginava",

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year = "2023",

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AU - Gát, György

AU - Goginava, Ushangi

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N2 - In this paper we discuss some convergence and divergence properties of subsequences of Cesàro means with varying parameters of Walsh–Fourier series. We give necessary and sufficient conditions for the convergence regarding the weighted variation of numbers.

AB - In this paper we discuss some convergence and divergence properties of subsequences of Cesàro means with varying parameters of Walsh–Fourier series. We give necessary and sufficient conditions for the convergence regarding the weighted variation of numbers.

KW - Cesàro means

KW - Convergence in norm

KW - Walsh–Fourier series

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Cesàro means with varying parameters of Walsh–Fourier series

Abstract

Keywords

ASJC Scopus subject areas

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