On the Convergence of Bernstein-Kantorovich-Stancu Shifted Knots Operators involving Schurer Parameter

被引：6
|
作者：
Alotaibi, Abdullah [1 ]
Nasiruzzaman, Md. [3 ]
Mohiuddine, S. A. [1 ,2 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Operator Theory & Applicat Res Grp, Jeddah, Saudi Arabia
[2] King Abdulaziz Univ, Appl Coll, Dept Gen Required Courses Math, Jeddah 21589, Saudi Arabia
[3] Univ Tabuk, Fac Sci, Dept Math, POB 4279, Tabuk 71491, Saudi Arabia
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2024年 / 18卷 / 01期
关键词：
Bernstein-Stancu type polynomials; Bernstein-Schurer polynimials; modulus of continuity; Peetre's K-functional; Korovkin's theorem; Voronovskaja-type theorem; APPROXIMATION PROPERTIES;
D O I：
10.1007/s11785-023-01423-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present article we want to study the convergence and other related properties of Schurer type Bernstein-Kantorovich-Stancu operators with Shifted knots. First we design the Bernstein-Kantorovich operators of the of Stancu type polynomials by Shifted knots of real parameters by including the Schurer positive real parameters, then obtain the convergence properties in terms of the continuous function space and Lebesgue spaces. In addition, we study the quantitative estimates of Voronovskaja-type theorems.
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页数：22
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