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Best polynomial approximations and the widths of function classes in L.

Authors :
Shabozov, M.
Tukhliev, K.
Source :
Mathematical Notes. Nov2013, Vol. 94 Issue 5/6, p930-937. 8p.
Publication Year :
2013

Abstract

Sharp Jackson-Stechkin type inequalities in which the modulus of continuity of mth order of functions is defined via the Steklov function are obtained. For the classes of functions defined by these moduli of continuity, exact values of various n-widths are derived. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*POLYNOMIAL approximation
*APPROXIMATION theory
*POLYNOMIALS
*MATHEMATICAL inequalities
*MATHEMATICAL functions
*FOURIER series

Details

Language :
English
ISSN :
00014346
Volume :
94
Issue :
5/6
Database :
Academic Search Index
Journal :
Mathematical Notes
Publication Type :
Academic Journal
Accession number :
93380351
Full Text :
https://doi.org/10.1134/S0001434613110291
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