Inverse beta and generalized Bleimann-Butzer-Hahn operators
type: Item
instance of: scholarly article
title: Inverse beta and generalized Bleimann-Butzer-Hahn operators
zbMATH Open document ID: 0795.41016
author: José A. Adell
author: Jesús de la Cal
author: Miguel San Miguel
published in: Journal of Approximation Theory
publication date: 1994-03-03T00:00:00Z
review text: The authors introduce two new Bernstein-type operators acting on \([0,\infty]\) which are closely related to each other. The former is associated with a Pólya distribution and includes as a particular case the Bleimann-Butzer-Hahn operator. The second is associated with the inverse beta probability distribution. The authors also study approximation properties for both operators concerning rates of convergence, preservation of Lipschitz constants, and monotonic convergence under convex functions. For the last two topics, the author shows in a novel way how probabilistic methods play an important role.
Mathematics Subject Classification ID: 41A36
zbMATH DE Number: 502997
zbMATH Keywords: Bernstein-type operators
zbMATH Keywords: Bleimann-Butzer-Hahn operator
reviewed by: M. Zuhair Nashed
MaRDI profile type: Publication
full work available at URL: jath.1994.1004
OpenAlex ID: W2001686280
DOI: 10.1006/JATH.1994.1004
description: scientific article; zbMATH DE number 502997