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

被引：6

作者：

Loku, Valdete ^{[1
]}

Braha, Naim L. ^{[2
,3
]}

Mansour, Toufik ^{[4
]}

Mursaleen, M. ^{[5
,6
]}

机构：

[1] Univ Appl Sci, Ferizaj 70000, Kosovo

[2] Ilirias Res Inst Www Ilirias Com, Rr Janina,2, Ferizaj 70000, Kosovo

[3] Univ Prishtina, Dept Math & Comp Sci, Ave Mother Teresa,5, Prishtine 10000, Kosovo

[4] Univ Haifa, Dept Math, IL-3498838 Haifa, Israel

[5] China Med Univ Taiwan, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[6] Aligarh Muslim Univ, Dept Math Aligarh, Aligarh 202002, Uttar Pradesh, India

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

关键词：

T-statistical convergence; Vornovskaya type theorem; Korovkin type theorem; Power series summability method; Kantorovich type generalization; Szasz operators; Sheffer type polynomials; STATISTICAL CONVERGENCE; THEOREMS; SPACES;

D O I：

10.1186/s13662-021-03326-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页数：13

共 23 条

[1]

Ali M., 2020, GENERALIZATION SZSZ

[2]

Boos J., 2000, CLASSICAL MODERN MET

[3] SOME PROPERTIES OF BASKAKOV-SCHURER-SZASZ OPERATORS VIA POWER SUMMABILITY METHODS [J].