Estimates for the best asymmetric approximations of asymmetric classes of functions

We obtain asymptotically sharp estimates for the best (α, β) -approximations of the classes with natural r by algebraic polynomials in the mean.

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Bibliographic Details
Published in:Ukrainian mathematical journal 2011-11, Vol.63 (6), p.927-939
Main Authors: Motornyi, V. P., Pas’ko, A. N.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
Citations: Items that this one cites
Online Access:Get full text
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Description
Summary:We obtain asymptotically sharp estimates for the best (α, β) -approximations of the classes with natural r by algebraic polynomials in the mean.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-011-0553-5