Approximation by a power series summability method of Kantorovich type Szász operators including Sheffer polynomials

Advances in Difference Equations

Toufik Mansour¹  M. Mursaleen²  Naim L. Braha³  Valdete Loku⁴ 

[1] Department of Mathematics, University of Haifa, 3498838, Haifa, Israel;Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, Taiwan;Department of Mathematics, Aligarh Muslim University, 202002, Aligarh, India;Ilirias research Institute (www.ilirias.com), rr-Janina, No-2, 70000, Ferizaj, Kosovo;Department of Mathematics and Computer Sciences, University of Prishtina, Avenue Mother Teresa, No-5, 10000, Prishtine, Kosova;University of Applied Sciences, Rr. Universiteti, p.n. 70000, Ferizaj, Kosovo;

关键词: -statistical convergence;    Vornovskaya type theorem;    Korovkin type theorem;    Power series summability method;    Kantorovich type generalization;    Szász operators;    Sheffer type polynomials;    40G10;    41A36;   

DOI  :  10.1186/s13662-021-03326-8

来源: Springer

【 摘 要 】

The main purpose of this paper is to use a power series summability method to study some approximation properties of Kantorovich type Szász–Mirakyan operators including Sheffer polynomials. We also establish Voronovskaya type result.

【 授权许可】

CC BY