Direct and inverse theorems in approximation theory for periodic functions in S.B. Stechkin’s papers and the development of these theorems

S.B. Stechkin made a considerable contribution to the important aspect of approximation theory for periodic functions concerned with direct and inverse theorems. We present the history of developing this research area and pose new problems.

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Bibliographic Details
Published in:	Proceedings of the Steklov Institute of Mathematics Vol. 273; no. Suppl 1; pp. 1 - 13
Main Author:	Ivanov, V. I.
Format:	Journal Article
Language:	English
Published:	Dordrecht SP MAIK Nauka/Interperiodica 01.07.2011
Subjects:	Mathematics Mathematics and Statistics Jackson-Stechkin inequality modulus of continuity inverse inequality best approximation
ISSN:	0081-5438, 1531-8605
Online Access:	Get full text
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Description
Summary:	S.B. Stechkin made a considerable contribution to the important aspect of approximation theory for periodic functions concerned with direct and inverse theorems. We present the history of developing this research area and pose new problems.
ISSN:	0081-5438 1531-8605
DOI:	10.1134/S0081543811050014