On approximation of functions by algebraic polynomials in $L^p_{\rho}$ metric

The version has been found, of improved Jackson's theorem analogue, concerning the approximation by algebraic polynomials on the interval in the integral metric for some classes of functions being integrable with the following weight: $\rho(x) = (1-x)^{\alpha} (1+x)^{\beta}$.

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Bibliographic Details
Published in:Researches in mathematics (Online) 2021-01, Vol.17, p.48
Main Author: Goncharov, S.V.
Format: Article
Language:English
Online Access:Get full text
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Summary:The version has been found, of improved Jackson's theorem analogue, concerning the approximation by algebraic polynomials on the interval in the integral metric for some classes of functions being integrable with the following weight: $\rho(x) = (1-x)^{\alpha} (1+x)^{\beta}$.
ISSN:2664-4991
2664-5009
DOI:10.15421/240908