On the degree of approximation to periodic functions by a trigonometric spline convolution operator
type: Item
instance of: scholarly article
title: On the degree of approximation to periodic functions by a trigonometric spline convolution operator
zbMATH Open document ID: 0689.42003
DOI: 10.1016/0377-0427(89)90297-5
author: B. C. Soh
published in: Journal of Computational and Applied Mathematics
publication date: 1989-01-01T00:00:00Z
review text: The author defines a trigonometrie spline convolution operator \(\sigma_ n^ m(f,x)\) and shows that for \(f\in C_{2\pi}\), \(\sigma_ h^ m(f;x)\to f(x)\) uniformly on R as mh\(\to 0\) and \((m+1)h<\pi\), where \(w_ f\) denotes the modulus of continuity of f.
reviewed by: S. M. Mazhar
Mathematics Subject Classification ID: 42A10
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 4129396
zbMATH Keywords: trigonometrie spline convolution operator
zbMATH Keywords: modulus of continuity
MaRDI profile type: Publication
full work available at URL: 0377-0427(89)90297-5
OpenAlex ID: W2044760740
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description: scientific article; zbMATH DE number 4129396