Strong Summability of Two-Dimensional Vilenkin–Fourier Series

U. Goginava

doi:10.1007/s11253-019-01653-4

Strong Summability of Two-Dimensional Vilenkin–Fourier Series

U. Goginava

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

1 Citation (Scopus)

Abstract

We study the exponential uniform strong summability of two-dimensional Vilenkin–Fourier series. In particular, it is proved that the two-dimensional Vilenkin–Fourier series of a continuous function f is uniformly strongly summable to a function f exponentially in the power 1/2. Moreover, it is proved that this result is best possible.

Original language	English
Pages (from-to)	387-401
Number of pages	15
Journal	Ukrainian Mathematical Journal
Volume	71
Issue number	3
DOIs	https://doi.org/10.1007/s11253-019-01653-4
Publication status	Published - Aug 1 2019
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1007/s11253-019-01653-4

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abstract = "We study the exponential uniform strong summability of two-dimensional Vilenkin–Fourier series. In particular, it is proved that the two-dimensional Vilenkin–Fourier series of a continuous function f is uniformly strongly summable to a function f exponentially in the power 1/2. Moreover, it is proved that this result is best possible.",

author = "U. Goginava",

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AB - We study the exponential uniform strong summability of two-dimensional Vilenkin–Fourier series. In particular, it is proved that the two-dimensional Vilenkin–Fourier series of a continuous function f is uniformly strongly summable to a function f exponentially in the power 1/2. Moreover, it is proved that this result is best possible.

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Strong Summability of Two-Dimensional Vilenkin–Fourier Series

Abstract

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