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On the Uniform Convergence and 𝐿-Convergence of Double Fourier Series with Respect to the Walsh–Kaczmarz System

  • U. Goginava
Published/Copyright: March 3, 2010
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Georgian Mathematical Journal
From the journal Volume 10 Issue 2

Abstract

In this paper we study the approximation by rectangular partial sums of a double Fourier series with respect to the Walsh–Kaczmarz system in the spaces 𝐶 and 𝐿. From our results we obtain different criteria of the uniform convergence and 𝐿-convergence of a double Fourier–Kaczmarz series.

Received: 2002-04-28
Published Online: 2010-03-03
Published in Print: 2003-June

© Heldermann Verlag

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