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

U. Goginava

doi:10.1007/s10474-008-7219-2

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Acta Mathematica Hungarica

Volume/Issue:: Volume 121: Issue 4

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

Author:

U. Goginava

U. Goginava Tbilisi State University Institute of Mathematics, Faculty of Exact and Natural Sciences Chavchavadze str. 1 Tbilisi 0128 Georgia

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Pages:: 359–369

Online Publication Date:: 13 Jul 2008

Publication Date:: 01 Dec 2008

Article Category:: Research Article

DOI:: https://doi.org/10.1007/s10474-008-7219-2

Keywords:: Fejér means; divergence; Walsh function; 42C10

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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 Fejér means of the Walsh-Fourier series of the function diverge.

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Acta Mathematica Hungarica

Print ISSN:: 0236-5294

Online ISSN:: 1588-2632

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Acta Mathematica Hungarica
Language	English
Size	B5
Year of Foundation	1950
Volumes per Year	3
Issues per Year	6
Founder	Magyar Tudományos Akadémia
Founder's Address	H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher	Akadémiai Kiadó Springer Nature Switzerland AG
Publisher's Address	H-1117 Budapest, Hungary 1516 Budapest, PO Box 245. CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible Publisher	Chief Executive Officer, Akadémiai Kiadó
ISSN	0236-5294 (Print)
ISSN	1588-2632 (Online)