Approximation by modified Kantorovich–Szász type operators involving Charlier polynomials

Advances in Difference Equations

article

Ansari, K. J.¹  Mursaleen, M.²  Shareef KP, M.⁵  Ghouse, M.⁶ 

[1] Department of Mathematics, College of Science, King Khalid University;Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan);Department of Mathematics, Aligarh Muslim University;Department of Computer Science and Information Engineering, Asia University;Department of IT, Ibra College of Technology;Department of Computer Science, College of Computer Science, King Khalid University

关键词: Szász operator;    Charlier polynomials;    Modulus of continuity;    Rate of convergence;   

DOI  :  10.1186/s13662-020-02645-6

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we give some direct approximation results by modified Kantorovich–Szász type operators involving Charlier polynomials. Further, approximation results are also developed in polynomial weighted spaces. Moreover, for the functions of bounded variation, approximation results are proved. Finally, some graphical examples are provided to show comparisons of convergence between old and modified operators towards a function under different parameters and conditions.

【 授权许可】

CC BY