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2025/107/3-4 (9) — DOI: 10.5486/PMD.2025.10185 — pp. 451-464

Approximation by matrix transform means with respect to the Walsh system in Lebesgue spaces

Authors: István Blahota Orcid.org link for István Blahota and Dóra Nagy Orcid.org link for Dóra Nagy

Abstract:

In this paper, we improve, complement and generalize (from Nörlund to matrix transform means) a result of Móricz and Siddiqi [26] and some statements of Areshidze and Tephnadze [3], and (from $T$ (weighted) to matrix transform means) Anakidze et al. [2].

Keywords: Fourier series, Walsh—Paley system, rate of approximation, matrix transform means

Mathematics Subject Classification: 42C10