Generalization of Szász–Mirakjan–Kantorovich operators using multiple Appell polynomials

Journal of inequalities and applications

article

Chetan Swarup¹  Pooja Gupta²  Ramu Dubey²  Vishnu Narayan Mishra³ 

[1] Department of Basic Science, College of Science and Theoretical Studies, Saudi Electronic University, Riyad Male Campus;Department of Mathematics, J. C. Bose University of Science and Technology;Department of Mathematics, Indira Gandhi National Tribal University

关键词: Szász operator;    Multiple Appell polynomials;    Moduli of smoothness;   

DOI  :  10.1186/s13660-020-02423-8

学科分类：电力

来源: SpringerOpen

【 摘 要 】

The purpose of the present paper is to introduce and study a sequence of positive linear operators defined on suitable spaces of measurable functions on $[0,\infty )$ and continuous function spaces with polynomial weights. These operators are Kantorovich type generalization of Jakimovski–Leviatan operators based on multiple Appell polynomials. Using these operators, we approximate suitable measurable functions by knowing their mean values on a sequence of subintervals of $[0,\infty )$ that do not constitute a subdivision of it. We also discuss the rate of convergence of these operators using moduli of smoothness.

【 授权许可】

CC BY