2023 Approximation by Subsequences of Matrix Transform Mean of Walsh-Fourier Series
István Blahota
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Real Anal. Exchange 48(1): 107-118 (2023). DOI: 10.14321/realanalexch.48.1.1654398223

Abstract

In the present paper we discuss the rate of the approximation by the matrix transform of special partial sums of Walsh-Fourier series in $L_p(G)$ space ($1\leq p \lt \infty$) and in $C(G)$.

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István Blahota. "Approximation by Subsequences of Matrix Transform Mean of Walsh-Fourier Series." Real Anal. Exchange 48 (1) 107 - 118, 2023. https://doi.org/10.14321/realanalexch.48.1.1654398223

Information

Published: 2023
First available in Project Euclid: 24 February 2023

Digital Object Identifier: 10.14321/realanalexch.48.1.1654398223

Subjects:
Primary: 42C10

Keywords: character system , Fourier series , Lipschitz functions , matrix transform , modulus of continuity , rate of approximation , Walsh-Paley system

Rights: Copyright © 2023 Michigan State University Press

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Vol.48 • No. 1 • 2023
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