Uniform convergence of N-dimensional Walsh-Fourier series

U. Goginava

doi:10.4064/sm168-1-1

Uniform convergence of N-dimensional Walsh-Fourier series

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

Abstract

We establish conditions on the partial moduli of continuity which guarantee uniform convergence of the N-dimensional Walsh-Fourier series of functions f from the class C_W(I^N) ∩ ∩_i=1 ^N BV_i{p(n)}, where p(n) ↑ ∞as n → ∞.

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	Studia Mathematica
Volume	168
Issue number	1
DOIs	https://doi.org/10.4064/sm168-1-1
Publication status	Published - 2005
Externally published	Yes

Keywords

N-dimensional Fourier series
Uniform convergence
Walsh function

ASJC Scopus subject areas

General Mathematics

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10.4064/sm168-1-1

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abstract = "We establish conditions on the partial moduli of continuity which guarantee uniform convergence of the N-dimensional Walsh-Fourier series of functions f from the class CW(IN) ∩ ∩i=1 N BVi{p(n)}, where p(n) ↑ ∞as n → ∞.",

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AB - We establish conditions on the partial moduli of continuity which guarantee uniform convergence of the N-dimensional Walsh-Fourier series of functions f from the class CW(IN) ∩ ∩i=1 N BVi{p(n)}, where p(n) ↑ ∞as n → ∞.

KW - N-dimensional Fourier series

KW - Uniform convergence

KW - Walsh function

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Uniform convergence of N-dimensional Walsh-Fourier series

Abstract

Keywords

ASJC Scopus subject areas

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