Direct and converse results for q-Bernstein operators-Reference-Cited by-同舟云学术

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Direct and converse results for q-Bernstein operators

Published:2009-05-28 Issue:2 Volume:52 Page:339-349
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Finta Zoltán

Abstract

AbstractDirect and converse theorems are established for the q-Bernstein polynomials introduced by G. M. Phillips. The direct approximation theorems are given for the second-order Ditzian–Totik modulus of smoothness. The converse results are theorems of Berens–Lorentz type.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Quantitative estimates for some modified Bernstein-Stancu operators;Miskolc Mathematical Notes;2018

2. Towards the best constant in front of the Ditzian-Totik modulus of smoothness;Journal of Inequalities and Applications;2016-05-10

3. Approximation byq-Bernstein Polynomials in the Caseq→1+;Abstract and Applied Analysis;2014

4. On Approximation Properties of q-King Operators;Topics in Mathematical Analysis and Applications;2014

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