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  • 标题:Approximation of functions by a class of Durrmeyer–Stancu type operators which includes Euler’s beta function
  • 本地全文:下载
  • 作者:Abdullah Alotaibi ; Faruk Özger ; S. A. Mohiuddine
  • 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
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