Approximation Properties of Generalized λ-Bernstein-Stancu-Type Operators

被引：5

作者：

Cai, Qing-Bo ^{[1
]}

Torun, Gulten ^{[2
]}

Dinlemez Kantar, Ulku ^{[3
]}

机构：

[1] Quanzhou Normal Univ, Sch Math & Comp Sci, Key Lab Intelligent Comp & Informat Proc, Fujian Prov Key Lab Data Intens Comp, Quanzhou 362000, Peoples R China

[2] Kastamonu Univ, Fac Educ Math & Sci Educ, Kastamonu, Turkey

[3] Gazi Univ, Dept Math, Fac Sci, Ankara, Turkey

来源：

JOURNAL OF MATHEMATICS | 2021年 / 2021卷

关键词：

D O I：

10.1155/2021/5590439

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present study introduces generalized lambda-Bernstein-Stancu-type operators with shifted knots. A Korovkin-type approximation theorem is given, and the rate of convergence of these types of operators is obtained for Lipschitz-type functions. Then, a Voronovskaja-type theorem was given for the asymptotic behavior for these operators. Finally, numerical examples and their graphs were given to demonstrate the convergence of G(m,lambda)(alpha,beta) (f, x) to f(x) with respect to m values.

引用

页数：17

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