Simultaneous approximation of periodic functions and their derivatives
type: Item
instance of: scholarly article
title: Simultaneous approximation of periodic functions and their derivatives
zbMATH Open document ID: 0601.41021
DOI: 10.1007/BF01161588
author: N. N. Sorich
author: A. I. Stepanets
published in: Mathematical Notes
publication date: 1984-01-01T00:00:00Z
review text: We continue the investigations, started by the second author [Ukr. Mat. Zh. 33, 356-367 (1981; Zbl 0518.42003) and Investigations in the theory of approximation of functions, Collect. Sci. Works, Kiev 1981, 82-88 (1981; Zbl 0512.42005)], concerning the study of the functionals that characterize the simultaneous approximation of functions and their derivatives by Fourier sums. In particular, the results of these works will be generalized here to the case of more general functionals, defined on the classes of periodic functions that admit fractional differentiation.
Mathematics Subject Classification ID: 41A28
zbMATH DE Number: 3969275
zbMATH Keywords: Fourier sums
zbMATH Keywords: fractional differentiation
MaRDI profile type: Publication
cites work: Q3937831
cites work: Q3274271
full work available at URL: https://doi.org/10.1007/bf01161588
OpenAlex ID: W1980247277
description: scientific article; zbMATH DE number 3969275