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Uniform convergence of N-dimensional Walsh-Fourier series

U. Goginava — 2005

Studia Mathematica

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 $C_{W} (I^{N}) \cap ⋂_{i = 1}^{N} B V_{i, p (n)}$ , where p(n)↑ ∞ as n → ∞.

Cesàro means of trigonometric Fourier series.

Goginava, U. — 2002

Georgian Mathematical Journal

On the convergence and summability of $N$ -dimensional Fourier series with respect to the Walsh-Paley systems in the spaces $L^{p} ({[0, 1]}^{N})$ , $p \in [1, + \infty]$ .

Goginava, U. — 2000

Georgian Mathematical Journal

On the uniform convergence and $L$ -convergence of double Fourier series with respect to the Walsh-Kaczmarz system.

Goginava, U. — 2003

Georgian Mathematical Journal

On the embedding Waterman, Chanturia and generalized Wiener classes in the classes $H_{1}^{ω}$ .

Goginava, U. — 2003

Georgian Mathematical Journal

Maximal operators of the Fejér means of the two dimensional character system of the $p$ -series field in the Kaczmarz rearrangement.

Goginava, U. — 2009

Acta Mathematica Universitatis Comenianae. New Series

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Currently displaying 1 – 6 of 6

Uniform convergence of N-dimensional Walsh-Fourier series

Cesàro means of trigonometric Fourier series.

On the convergence and summability of N -dimensional Fourier series with respect to the Walsh-Paley systems in the spaces L p ( [ 0 , 1 ] N ) , p ∈ [ 1 , + ∞ ] .

On the uniform convergence and L -convergence of double Fourier series with respect to the Walsh-Kaczmarz system.

On the embedding Waterman, Chanturia and generalized Wiener classes in the classes H 1 ω .

Maximal operators of the Fejér means of the two dimensional character system of the p -series field in the Kaczmarz rearrangement.

On the convergence and summability of $N$ -dimensional Fourier series with respect to the Walsh-Paley systems in the spaces $L^{p} ({[0, 1]}^{N})$ , $p \in [1, + \infty]$ .

On the uniform convergence and $L$ -convergence of double Fourier series with respect to the Walsh-Kaczmarz system.

On the embedding Waterman, Chanturia and generalized Wiener classes in the classes $H_{1}^{ω}$ .

Maximal operators of the Fejér means of the two dimensional character system of the $p$ -series field in the Kaczmarz rearrangement.