Theorems for generalized Favard-Kantorovich and Favard-Durrmeyer operators in exponential function spaces

Mathematica Slovaca

Aneta Sikorska-Nowak¹  Grzegorz Nowak¹ 

关键词: Favard-Kantorovich operator;    Favard-Durrmeyer operator;    direct approximation theorem;    exponential weight space;    weighted modulus of smoothness;   

DOI  :  10.2478/s12175-010-0011-0

学科分类：数学（综合）

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

【 摘 要 】

We consider the Kantorovich and the Durrmeyer type modifications of the generalized Favard operators and we prove some direct approximation theorems for functions f such that w σ f ∈ L p(R), where 1 ≤ p ≤ ∞ and w σ(x) = exp(−σx 2), σ > 0.

【 授权许可】

Unknown