On the rate of convergence for the \(q\)-Durrmeyer polynomials in complex domains
type: Item
instance of: scholarly article
title: On the rate of convergence for the \(q\)-Durrmeyer polynomials in complex domains
zbMATH Open document ID: 1548.41014
author: Ovgu Gurel
author: Sofiya Ostrovska
author: Mehmet Turan
published in: Mathematica Slovaca
publication date: 2024-11-06T00:00:00Z
review text: In the year 2008 the \(q\)-Durrmeyer operators were introduced (see [\textit{V. Gupta}, Appl. Math. Comput. 197, No. 1, 172--178 (2008; Zbl 1142.41008)]). Such operators are one of the popular \(q\)-versions of the classical operators in approximation theory. The present article deals with the study on the approximation properties in complex domain of these operators. It is proved that the rate of convergence on a compact set \(D \subset C\) for these operators is of order \(O(q^n)\) as \(n\to \infty\), where \(0<q<1.\)
reviewed by: Vijay Gupta
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 30E10
zbMATH DE Number: 7939925
zbMATH Keywords: \(q\)-integers
zbMATH Keywords: \(q\)-Durrmeyer operator
zbMATH Keywords: rate of convergence
zbMATH Keywords: analytic function
MaRDI profile type: Publication
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DOI: 10.1515/MS-2024-0092
description: scientific article; zbMATH DE number 7939925