More on comonotone polynomial approximation
type: Item
instance of: scholarly article
title: More on comonotone polynomial approximation
zbMATH Open document ID: 0959.41006
author: I. O. Shevchuk
author: D. Leviatan
published in: Constructive Approximation
publication date: 2001-05-06T00:00:00Z
review text: In this paper the main theorem that the authors prove is to show that the functions of the class \(C^2(0,1)\), with some regular behaviour at the end points, which change monotonicity at least once in the interval, are approximable better by comonotone polynomials than the functions of the same class but with no change in the nature of monotonicity over the interval. They obtain Jackson-type estimates for the comonotone polynomial approximation of such functions.
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 41A29
zbMATH DE Number: 1525169
zbMATH Keywords: comonotone approximation by polynomials
zbMATH Keywords: degree of approximation
zbMATH Keywords: Jackson type estimates
reviewed by: Ganesh Datta Dikshit
MaRDI profile type: Publication
full work available at URL: s003650010003
OpenAlex ID: W2092724561
DOI: 10.1007/S003650010003
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description: scientific article; zbMATH DE number 1525169