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