PARAMETRIC GENERALIZATION OF THE MODIFIED BERNSTEIN-KANTOROVICH OPERATORS

被引：0
|
作者：
Kanat, Kadir [1 ]
Sofyalioglu, Melek [1 ]
Erdal, Selin [1 ]
机构：
[1] Ankara Haci Bayram Veli Univ, Dept Math, Ankara, Turkiye
来源：
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2024年 / 73卷 / 02期
关键词：
Bernstein-Kantorovich operators; Peetre- K functional; modulus of continuity; Lipschitz class;
D O I：
10.31801/cfsuasmas.1338789
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the current article, a parametrization of the modified BernsteinKantorovich operators is studied. Then the Korovkin theorem, approximation properties and central moments of these operators are investigated. The rate of approximation of the operators is obtained by the help of modulus of continuity, functions from Lipschitz class and Peetre- K functional. Finally, some numerical examples are illustrated to show the effectiveness of the newly defined operators.
引用
收藏
页码：460 / 473
页数：14
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