Abstract
In this article we discuss the behaviour of Θ-means of Walsh—Fourier series of a function in dyadic Hardy spaces Hp and dyadic homogeneous Banach spaces X. Namely, we estimate the rate of the approximation by Θ-means in terms of modulus of continuity in X and best approximation in Hp. Our main theorem is a generalization of a result of Fridli, Manchanda and Siddiqi [7].
Original language | English |
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Pages (from-to) | 285-309 |
Number of pages | 25 |
Journal | Analysis Mathematica |
Volume | 47 |
Issue number | 2 |
DOIs | |
Publication status | Published - Jun 2021 |
Keywords
- Fejér mean
- Nörlund mean
- Walsh group
- Walsh system
- Walsh—Fourier series
- approximation
- dyadic Hardy space
- dyadic homogeneous Banach space
- modulus of continuity
- weighted mean
- Θ-mean
ASJC Scopus subject areas
- Analysis
- Mathematics(all)