Approximation by Riesz means of hexagonal Fourier series
type: Item
instance of: scholarly article
title: Approximation by Riesz means of hexagonal Fourier series
zbMATH Open document ID: 1362.42016
DOI: 10.4171/ZAA/1576
author: Ali Guven
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2017-02-15T00:00:00Z
review text: Summary: Let \(f\) be an \(H\)-periodic (periodic with respect to the hexagon lattice) Hölder continuous function of two real variables. The error \(\| f-R_{n}( p_{k};f) \|\) is estimated in the uniform norm and in the Hölder norm, where \((p_{k})\) is a sequence of numbers such that \(0 < p_{0} \leq p_{1}\leq \cdots\) and \(R_{n} (p_{k};f)\) is the \(n\)th Riesz mean of hexagonal Fourier series of \(f\) with respect to \((p_{k})\).
Mathematics Subject Classification ID: 42B08
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 6684915
zbMATH Keywords: hexagonal Fourier series
zbMATH Keywords: Hölder class
zbMATH Keywords: Riesz mean
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6684915