On the rate of approximation by \(q\) modified beta operators
type: Item
instance of: scholarly article
title: On the rate of approximation by \(q\) modified beta operators
zbMATH Open document ID: 1211.41004
author: Vijay Gupta
author: Taekyun Kim
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-03-08T00:00:00Z
review text: The authors propose the \(q\) analogue of the modified Beta operators. They apply \(q\)-derivatives to obtain the central moments of the discrete \(q\)-Beta operators. A direct result in terms of modulus of continuity for the \(q\)-operators is also established. They have also used the properties of \(q\)-integral to establish the recurrence formula for the moments of \(q\)-modified Beta operators and an asymptotic formula.
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 41A36
zbMATH DE Number: 5862705
zbMATH Keywords: linear positive operators
zbMATH Keywords: modified beta operators
zbMATH Keywords: modulus of continuity
zbMATH Keywords: \(q\)-integers
zbMATH Keywords: \(q\)-beta functions
zbMATH Keywords: \(q\)-derivatives
zbMATH Keywords: \(q\)-integrals
zbMATH Keywords: rate of approximation
MaRDI profile type: Publication
full work available at URL: j.jmaa.2010.11.021
OpenAlex ID: W1970894296
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DOI: 10.1016/J.JMAA.2010.11.021
description: scientific article; zbMATH DE number 5862705