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 - <p style="text-align: justify;">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.</p>