Strong summability of double Vilenkin–Fourier series

Ushangi Goginava; Károly Nagy

doi:10.1007/s44146-023-00084-9

Strong summability of double Vilenkin–Fourier series

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

Abstract

In this paper we study the a.e. strong summability of the quadratical and rectangular partial sums of the two-dimensional Vilenkin–Fourier series for every two-dimensional functions belonging to Llog L . We also study the exponential uniform strong approximation of Marcinkiewicz type of two-dimensional Vilenkin–Fourier series.

Original language	English
Journal	Acta Scientiarum Mathematicarum
DOIs	https://doi.org/10.1007/s44146-023-00084-9
Publication status	Accepted/In press - 2023

Keywords

Almost everywhere summability
Marcinkiewicz type means
Strong summability
Vilenkin system

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1007/s44146-023-00084-9

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abstract = "In this paper we study the a.e. strong summability of the quadratical and rectangular partial sums of the two-dimensional Vilenkin–Fourier series for every two-dimensional functions belonging to Llog L . We also study the exponential uniform strong approximation of Marcinkiewicz type of two-dimensional Vilenkin–Fourier series.",

keywords = "Almost everywhere summability, Marcinkiewicz type means, Strong summability, Vilenkin system",

author = "Ushangi Goginava and K{\'a}roly Nagy",

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AU - Nagy, Károly

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AB - In this paper we study the a.e. strong summability of the quadratical and rectangular partial sums of the two-dimensional Vilenkin–Fourier series for every two-dimensional functions belonging to Llog L . We also study the exponential uniform strong approximation of Marcinkiewicz type of two-dimensional Vilenkin–Fourier series.

KW - Almost everywhere summability

KW - Marcinkiewicz type means

KW - Strong summability

KW - Vilenkin system

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Strong summability of double Vilenkin–Fourier series

Abstract

Keywords

ASJC Scopus subject areas

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