Strong summability of double Vilenkin–Fourier series

Ushangi Goginava; Károly Nagy

doi:10.1007/s44146-022-00045-8

Strong summability of double Vilenkin–Fourier series

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Abstract

In this paper we study the a.e. strong summability of thequadratical and rectangular partial sums of the two-dimensional Vilenkin–Fourier series for every two-dimensional functions belonging to L log L. Wealso study the exponential uniform strong approximation of Marcinkiewicztype of two-dimensional Vilenkin–Fourier series.

Original language	English
Pages (from-to)	673-696
Number of pages	24
Journal	Acta Scientiarum Mathematicarum
Volume	88
Issue number	3-4
DOIs	https://doi.org/10.1007/s44146-022-00045-8
Publication status	Published - Dec 2022

Keywords

42C10
almost everywhere summability
Marcinkiewicz type means
strong summability
Vilenkin system

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1007/s44146-022-00045-8

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AU - Nagy, Károly

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KW - Marcinkiewicz type means

KW - strong summability

KW - Vilenkin system

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ER -

Strong summability of double Vilenkin–Fourier series

Abstract

Keywords

ASJC Scopus subject areas

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