Best constants in global smoothness preservation inequalities for some multivariate operators
type: Item
instance of: scholarly article
title: Best constants in global smoothness preservation inequalities for some multivariate operators
zbMATH Open document ID: 0920.41011
author: Ana M. Valle
author: Jesús de la Cal
published in: Journal of Approximation Theory
publication date: 1999-09-23T00:00:00Z
review text: Using a probabilistic representation of positive operators going back to the classical paper of S. Bernstein the authors give sharp estimates for the modulus of continuity of \(L_tf\). Here \(\{L_t\xi_{t\in T}\) is an approximating family of positive operators acting in the space \(\{f:I^k\to\mathbb{R}\); \(\sup_{x,y}| f(x)-f(y)|<\infty\}\) where \(I^k\) is either \(k\)-simplex or \(\mathbb{R}^k_+\).
Mathematics Subject Classification ID: 41A36
Mathematics Subject Classification ID: 60G10
zbMATH DE Number: 1286394
zbMATH Keywords: stochastic process
zbMATH Keywords: Bernstein operator
zbMATH Keywords: modules of continuity
zbMATH Keywords: positive operators
reviewed by: Yuri A. Brudnyi
MaRDI profile type: Publication
full work available at URL: jath.1997.3252
OpenAlex ID: W1982677829
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DOI: 10.1006/JATH.1997.3252
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description: scientific article; zbMATH DE number 1286394