Approximation by Bernstein-Kantorovich type operators based on Beta function

被引：1

作者：

Aharouch, Lahsen ^{[1
,2
]}

Ansari, Khursheed J. ^{[1
]}

机构：

[1] King Khalid Univ, Coll Sci, Dept Math, Abha 61413, Saudi Arabia

[2] Polydisciplinary Fac Ouarzazate, POB 638, Ouarzazate, Morocco

来源：

FILOMAT | 2023年 / 37卷 / 30期

关键词：

Bernstein operators; Beta function; Modulus of continuity; Voronovskaya type theorem; CONSTRUCTION;

D O I：

10.2298/FIL2330445A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

With the idea taken from the King type operators which preserve some test functions, we introduce here some Durrmeyer variants of Bernstein operators based on Beta functions. Some direct ap-proximation theorems are provided of this introduced sequence of operators. We also proved Voronovkaja type theorem. Furthermore, graphical and numerical examples are also given with the help of MATLAB.

引用

页码：10445 / 10457

页数：13

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