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Mathematica Slovaca

Editor-in-Chief: Pulmannová, Sylvia

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Volume 67, Issue 1


Almost everywhere convergence of some subsequences of Fejér means for integrable functions on some unbounded Vilenkin groups

Nacima Memić
Published Online: 2017-02-28 | DOI: https://doi.org/10.1515/ms-2016-0256


Following the methods of G. Gát, in this work we prove the a.e convergence of the subsequence (σmn2Mnf)n, for every integrable function f on unbounded Vilenkin groups, such that the sequence (mn)n contains infinitely many even terms satisfying the estimate lnmk1lnmkmk=O(1).

MSC 2010: Primary 42C10

Keywords: Vilenkin groups; Fejér means; almost everywhere convergence


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About the article

Received: 2014-03-03

Accepted: 2015-01-23

Published Online: 2017-02-28

Published in Print: 2017-02-01

Citation Information: Mathematica Slovaca, Volume 67, Issue 1, Pages 179–190, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918, DOI: https://doi.org/10.1515/ms-2016-0256.

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