(p,q) $(p,q)$-gamma operators which preserve x2 $x^{2}$

Journal of Inequalities and Applications

Wen-Hui Zhang¹  Wen-Tao Cheng²  Qing-Bo Cai³ 

[1] Qingdao Hengxing University of Science and Technology;School of Mathematics and Computation Science, Anqing Normal University;School of Mathematics and Computer Science, Quanzhou Normal University;

关键词: ( p , q ) $(p,q)$ -integers;    ( p , q ) $(p,q)$ -gamma operators;    Modulus of continuity;    Rate of convergence;   

DOI  :  10.1186/s13660-019-2053-3

来源: DOAJ

【 摘 要 】

Abstract In this paper, we introduce (p,q) $(p,q)$-gamma operators which preserve x2 $x^{2}$, we estimate the moments of these operators, and establish direct and local approximation theorems of these operators. Then two approximation theorems about Lipschitz functions are obtained. The estimates on the rate of convergence and some weighted approximation theorems of the operators are also obtained. Furthermore, the Voronovskaja-type asymptotic formula is also presented.

【 授权许可】

Unknown