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On Approximation Characteristics of Some Classes of Functions of Small Smoothness.

Authors :
Radomskii, A. O.
Source :
Siberian Mathematical Journal. May2018, Vol. 59 Issue 3, p486-493. 8p.
Publication Year :
2018

Abstract

We find the exact order of the entropy numbers and the Kolmogorov widths of a class of functions defined by a condition on the uniform norm of blocks of the Fourier series taken over a lacunar sequence of indices. This result generalizes a result by B. S. Kashin and V. N. Temlyakov. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00374466
Volume :
59
Issue :
3
Database :
Academic Search Index
Journal :
Siberian Mathematical Journal
Publication Type :
Academic Journal
Accession number :
130378976
Full Text :
https://doi.org/10.1134/S0037446618030114