On approximation of Bernstein-Durrmeyer operators in movable interval-Reference-Cited by-同舟云学术

On approximation of Bernstein-Durrmeyer operators in movable interval

Published:2022 Issue:4 Volume:5 Page:331
ISSN:2577-8838
Container-title:Mathematical Foundations of Computing
language:
Short-container-title:MFC

Author:

Wang Fengfeng¹,Yu Dansheng¹,Zhang Bin¹

Affiliation:

1. Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China

Abstract

<p style='text-indent:20px;'>In the present paper, we introduce a new type of Bernstein-Durrmeyer operators preserving linear functions in movable interval. The approximation rate of the new operators for continuous functions and Voronovskaja's asymptotic estimate are obtained.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Artificial Intelligence,Computational Mathematics,Computational Theory and Mathematics,Theoretical Computer Science

Reference41 articles.

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3. Q. B. Cai, Ü. D. Kantar, B. Çekim.Approximation properties for the genuine modified Bernstein-Durrmeyer-Stancu operators, Appl. Math. J. Chinese Univ. Ser. B, 35 (2020), 468-478.

4. Q. B. Cai, B. Y. Lian, G. Zhou.Approximation properties of $\lambda$-Bernstein operators, J. Inequal. Appl., 2018 (2018), 1-11.

5. W. Chen, On the Modified Durrmeyer-Bernstein Operator, Report of the Fifth Chinese Conference on Approximation Theory, Zhenzhou, China, 1987.

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