Approximation of double Walsh–Fourier series by means of the matrix transform

István Blahota

doi:10.3842/umzh.v76i5.7397

István Blahota Institute of Mathematics and Computer Sciences, University of Nyíregyháza, Nyíregyháza, Hungary

DOI: https://doi.org/10.3842/umzh.v76i5.7397

Keywords: Walsh group; Walsh system; Walsh-Fourier series; N\

Abstract

UDC 517.5

We discuss the rate of approximation of partial sums of the double Walsh–Fourier series in the spaces $L^p(G^2),$ $1\leq p <\infty,$ and $C(G^2)$ by the matrix transform.

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