On the Best (α;β)-Approximations of Convex Functions by Constants in Integral Metrics

We prove inequalities connecting the constants of the best (α;β) -approximation in the space L p for various values of p .

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Bibliographic Details
Published in:Ukrainian mathematical journal 2013-12, Vol.65 (7), p.1134-1140
Main Author: Polyakov, O. V.
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 prove inequalities connecting the constants of the best (α;β) -approximation in the space L p for various values of p .
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-013-0848-9