Global smoothness preservation with second order modulus of smoothness

Mathematica Slovaca

Gancho Tachev¹ 

关键词: Bernstein polynomials;    global smoothness preservation;    Ditzian-Totik moduli of smoothne;   

DOI  :  10.2478/s12175-013-0162-x

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

We establish the global smoothness preservation of a function f by the sequence of linear positive operators. Our estimate is in terms of the second order Ditzian-Totik modulus of smoothness. Application is given to the Bernstein operator.

【 授权许可】

Unknown