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

[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.

[学科分类] 数学（综合）

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