On rational functions of the best nonsymmetric approximations in integral metrics

We obtain theorems that characterize the degree of the rational function of the best (α; β) -approximation in the space L p and conditions under which the value of the best rational (α; β) -approximation is less than the best (α; β) -approximation by algebraic polynomials.

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Bibliographic Details
Published in:Ukrainian mathematical journal 2013-04, Vol.64 (11), p.1780-1783
Main Authors: Polyakov, O. V., Ruchaevskaya, N. O.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
Citations: Items that this one cites
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Description
Summary:We obtain theorems that characterize the degree of the rational function of the best (α; β) -approximation in the space L p and conditions under which the value of the best rational (α; β) -approximation is less than the best (α; β) -approximation by algebraic polynomials.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-013-0751-4