BERNSTEIN DURRMEYER OPERATORS BASED ON TWO PARAMETERS

Facta Universitatis. Series Mathematics and Informatics

Vijay Gupta¹ 

[1] Netaji Subhas Institute of Technology

关键词: (p;    q) Beta function;    (p;    q) Gamma function;    direct estimates;    modulus of continuity.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Nishu / University of Nis

【 摘 要 】

In the present paper, we study the applications of the extension of quantum calculus based on two parameters. We define beta function and establish an identity with gamma function, for two parameters $(p,q)$, i e. the post-quantum calculus. We also propose the $(p,q)$-Durrmeyer operators, estimate moments and establish some direct results. Depending on the selection of $p$ and $q,$ the rate of convergence of the our new operators can provide better approximation than those of the Bernstein-Durrmeyer operators and its $q$-analogue. In the end, we provide some graphs using the software Mathematica.

【 授权许可】

Unknown