文章基本信息

标题：Approximation of functions by a class of Durrmeyer–Stancu type operators which includes Euler’s beta function
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作者：Abdullah Alotaibi ; Faruk Özger ; S. A. Mohiuddine 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2021
卷号：2021
期号：1
页码：1
DOI：10.1186/s13662-020-03164-0
出版社：Hindawi Publishing Corporation
摘要：In this work, we construct the genuine Durrmeyer–Stancu type operators depending on parameter α in $[0,1]$ as well as $ ho >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.
关键词：41A35 ; 41A36 ; 41A10