On Durrmeyer Type Bernstein-Schurer Operators Defined by $(p, q)$-Integers
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@Article{ATA-40-351,
author = {Wang , XuweiHu , Xiaomin and Zha , Xingxing},
title = {On Durrmeyer Type Bernstein-Schurer Operators Defined by $(p, q)$-Integers},
journal = {Analysis in Theory and Applications},
year = {2025},
volume = {40},
number = {4},
pages = {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.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2017-0022}, url = {http://global-sci.org/intro/article_detail/ata/23858.html} }
TY - JOUR
T1 - On Durrmeyer Type Bernstein-Schurer Operators Defined by $(p, q)$-Integers
AU - Wang , Xuwei
AU - Hu , Xiaomin
AU - Zha , Xingxing
JO - Analysis in Theory and Applications
VL - 4
SP - 351
EP - 362
PY - 2025
DA - 2025/02
SN - 40
DO - http://doi.org/10.4208/ata.OA-2017-0022
UR - https://global-sci.org/intro/article_detail/ata/23858.html
KW - $(p, q)$-integers, $(p, q)$-Durrmeyer-Schurer operator, modulus of smoothness, Lipschitz-class.
AB -
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.
Wang , XuweiHu , Xiaomin and Zha , Xingxing. (2025). On Durrmeyer Type Bernstein-Schurer Operators Defined by $(p, q)$-Integers.
Analysis in Theory and Applications. 40 (4).
351-362.
doi:10.4208/ata.OA-2017-0022
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