Year: 2024
Author: Xuwei Wang, Xiaomin Hu, Xingxing Zha
Analysis in Theory and Applications, Vol. 40 (2024), Iss. 4 : pp. 351–362
Abstract
In this paper, we generalize the Durrmeyer-type Bernstein-Schurer operator by applying $(p, q)$-integers and obtain uniform convergence of the operator. Furthermore, we deal with the approximation problems in terms of the modulus of smoothness and ${\rm K}$-functional. Finally, the operator is modified to get better estimation.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2017-0022
Analysis in Theory and Applications, Vol. 40 (2024), Iss. 4 : pp. 351–362
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: $(p q)$-integers q)$-Durrmeyer-Schurer operator modulus of smoothness Lipschitz-class.