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2012 Approximation by Cesàro means of negative order of double Walsh-Kaczmarz-Fourier series
Károly Nagy
Tohoku Math. J. (2) 64(3): 317-331 (2012). DOI: 10.2748/tmj/1347369366

Abstract

In this article we investigate the rate of the approximation by Cesàro means of the quadratical partial sums of double Walsh-Kaczmarz-Fourier series of a function in the Lebesgue space over the Walsh group. The approximation properties of Cesàro means of negative order of one- and two-dimensional Walsh-Fourier series was discussed earlier by Goginava.

Citation

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Károly Nagy. "Approximation by Cesàro means of negative order of double Walsh-Kaczmarz-Fourier series." Tohoku Math. J. (2) 64 (3) 317 - 331, 2012. https://doi.org/10.2748/tmj/1347369366

Information

Published: 2012
First available in Project Euclid: 11 September 2012

zbMATH: 1256.42042
Digital Object Identifier: 10.2748/tmj/1347369366

Subjects:
Primary: 42C10

Keywords: approximation , Cesàro means , double Walsh-Kaczmarz-Fourier series , rate of convergence , Walsh group , Walsh-Kaczmarz system

Rights: Copyright © 2012 Tohoku University

Vol.64 • No. 3 • 2012
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