Strong estimates of the weighted simultaneous approximation by the Bernstein and Kantorovich operators and their iterated Boolean sums
type: Item
instance of: scholarly article
title: Strong estimates of the weighted simultaneous approximation by the Bernstein and Kantorovich operators and their iterated Boolean sums
zbMATH Open document ID: 1329.41019
author: Borislav R. Draganov
published in: Journal of Approximation Theory
publication date: 2015-09-28T00:00:00Z
review text: Here the author establishes matching direct and two-term strong converse estimates of the rate of weighted simultaneous approximation by the Bernstein operator and its iterated Boolean sums for smooth functions in \(L_p\)-norm, \(1 < p \leq\infty\). The characterization is stated in terms of appropriate moduli of smoothness or \(K\)-functionals. Also, analogous results concerning the generalized Kantorovich operators are derived.
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 41A30
zbMATH DE Number: 6485848
zbMATH Keywords: simultaneous approximation
zbMATH Keywords: Bernstein polynomials
zbMATH Keywords: Boolean sums
zbMATH Keywords: Jacobi weights
MaRDI profile type: Publication
full work available at URL: j.jat.2015.07.006
OpenAlex ID: W1114387895
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DOI: 10.1016/J.JAT.2015.07.006
description: scientific article; zbMATH DE number 6485848