期刊论文详细信息
Advances in Difference Equations
Approximation of functions by a class of Durrmeyer–Stancu type operators which includes Euler’s beta function
article
Alotaibi, Abdullah1  Özger, Faruk2  Mohiuddine, S. A.1  Alghamdi, Mohammed A.1 
[1] Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University;Department of Engineering Sciences, İzmir Katip Çelebi University;Department of General Required Courses, Faculty of Applied Studies, King Abdulaziz University
关键词: Beta function;    Jacobi weights;    α -Bernstein operators;    Durrmeyer operators;    Voronovskaja-type result;    Modulus of continuity;   
DOI  :  10.1186/s13662-020-03164-0
学科分类:航空航天科学
来源: SpringerOpen
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【 摘 要 】

In this work, we construct the genuine Durrmeyer–Stancu type operators depending on parameter α in$[0,1]$ as well as$\rho >0$ and study some useful basic properties of the operators. We also obtain Grüss–Voronovskaja and quantitative Voronovskaja types approximation theorems for the aforesaid operators. Further, we present numerical and geometrical approaches to illustrate the significance of our new operators.

【 授权许可】

CC BY   

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