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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Vydané v:Proceedings of the Steklov Institute of Mathematics Ročník 273; číslo Suppl 1; s. 1 - 13
Hlavný autor: Ivanov, V. I.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Dordrecht SP MAIK Nauka/Interperiodica 01.07.2011
Predmet:
Mathematics
Mathematics and Statistics
Jackson-Stechkin inequality
modulus of continuity
inverse inequality
best approximation
ISSN:0081-5438, 1531-8605
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Popis
Shrnutí: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