Voronovskaja-type quantitative difference estimates of positive linear operators with different basis functions

Miskolc Mathematical Notes

article

Vijay Gupta¹ 

[1] Department of Mathematics, Netaji Subhas University of Technology

关键词: difference estimate;    Voronovskaja-type result;    Bernstein operators;    Durrmeyer operators;    Kantorovich operators;   

DOI  :  10.18514/MMN.2023.3981

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

The present article is an extension of the work of [2] and provides Voronovskaja type quantitative estimate for the difference of positive linear operators with different fundamental functions. We also present the applications of such results using Bernstein operators, Bernstein-Kantorovich operators, Bernstein-Durrmeyer operators, Generalized-Bernstein operators based on Polya distribution and its Durrmeyer and Kantorovich type modifications. We use Mathematica software to direct massive computations.

【 授权许可】

CC BY