On the divergence of Walsh-Fejér means of bounded functions on sets of measure zero

U. Goginava

doi:10.1007/s10474-008-7219-2

On the divergence of Walsh-Fejér means of bounded functions on sets of measure zero

U. Goginava

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

10 Citations (Scopus)

Abstract

The aim of this paper is to prove that for an arbitrary set of measure zero there exists a bounded function for which the Fejér means of the Walsh-Fourier series of the function diverge.

Original language	English
Pages (from-to)	359-369
Number of pages	11
Journal	Acta Mathematica Hungarica
Volume	121
Issue number	4
DOIs	https://doi.org/10.1007/s10474-008-7219-2
Publication status	Published - Dec 2008
Externally published	Yes

Keywords

Divergence
Fejér means
Walsh function

ASJC Scopus subject areas

General Mathematics

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10.1007/s10474-008-7219-2

Cite this

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abstract = "The aim of this paper is to prove that for an arbitrary set of measure zero there exists a bounded function for which the Fej{\'e}r means of the Walsh-Fourier series of the function diverge.",

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author = "U. Goginava",

year = "2008",

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KW - Divergence

KW - Fejér means

KW - Walsh function

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On the divergence of Walsh-Fejér means of bounded functions on sets of measure zero

Abstract

Keywords

ASJC Scopus subject areas

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