Generalized Szasz-Kantorovich Type Operators

被引：4

作者：

Kajla, Arun ^{[1
]}

Araci, Serkan ^{[2
]}

Goyal, Meenu ^{[3
]}

Acikgoz, Mehmet ^{[4
]}

机构：

[1] Cent Univ Haryana, Dept Math, Adalpur 123031, Haryana, India

[2] Hasan Kalyoncu Univ, Fac Econ Adm & Social Sci, Dept Econ, TR-27410 Gaziantep, Turkey

[3] Thapar Inst Engn & Technol, Sch Math, Patiala 147004, Punjab, India

[4] Gaziantep Univ, Fac Sci & Arts, Dept Math, TR-27310 Gaziantep, Turkey

来源：

COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2019年 / 10卷 / 03期

关键词：

Positive approximation process; Rate of convergence; Modulus of continuity; Steklov mean; APPROXIMATION PROPERTIES;

D O I：

10.26713/cma.v10i3.717

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we present Kantorovich modification of the operators introduced by V. Mihesan [Creative Math. Inf. 17 (2008), 466 - 472]. First, we derive some indispensable auxiliary results in the second section. We present a quantitative Voronovskaja type theorem, local approximation theorem by means of second order modulus of continuity and weighted approximation for these operators. Furthermore, we show the rate of convergence of these operators to certain functions with the help of the illustrations using Maple algorithms.

引用

页码：403 / 413

页数：11

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