Theorems on direct and inverse approximation by algebraic polynomials and piecewise polynomials in the spaces \(H^m(a,b)\) and \(B_{2,q}^s(a,b)\)
type: Item
instance of: scholarly article
title: Theorems on direct and inverse approximation by algebraic polynomials and piecewise polynomials in the spaces \(H^m(a,b)\) and \(B_{2,q}^s(a,b)\)
zbMATH Open document ID: 1547.41003
author: R. Z. Dautov
published in: Russian Mathematics
publication date: 2024-06-21T00:00:00Z
review text: From the introduction: This paper is an extended presentation of the results announced earlier in a short communication [the author, Russ. Math. 66, No. 6, 65--72 (2022; Zbl 1528.41012)].
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A17
Mathematics Subject Classification ID: 41A27
Mathematics Subject Classification ID: 41A81
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 7868685
zbMATH Keywords: best approximation by polynomials
zbMATH Keywords: orthogonal polynomial
zbMATH Keywords: sharp error estimate
zbMATH Keywords: Bernstein's inequality
zbMATH Keywords: Jackson's inequality
zbMATH Keywords: direct and inverse theorems
MaRDI profile type: Publication
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DOI: 10.3103/S1066369X24700026
description: scientific article; zbMATH DE number 7868685