Approximation by Jakimovski–Leviatan-beta operators in weighted space

Advances in Difference Equations

article

Nasiruzzaman, M.¹  Mursaleen, M.² 

[1] Department of Mathematics, Faculty of Science, University of Tabuk;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

关键词: Appell polynomials;    Jakimovski–Leviatan operators;    Korovkin’s theorem;    Modulus of continuity;    Lipschitz functions;    Peetre’s K -functional;   

DOI  :  10.1186/s13662-020-02848-x

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

The main purpose of this article is to introduce a more generalized version of Jakimovski–Leviatan-beta operators through the Appell polynomials. We present some uniform convergence results of these operators via Korovkin’s theorem and obtain the rate of convergence by using the modulus of continuity and Lipschitz class. Moreover, we obtain the approximation with the help of Peetre’s K-functional and give some direct theorems.

【 授权许可】

CC BY