一类Baskakov型算子的加权逼近  

Weighted approximation of a kind of Baskakov type operators

作　　者：杨瑞环[1] 孙渭滨[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《西南民族大学学报（自然科学版）》2009年第1期59-62,共4页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：宁夏高等学校科研基金资助项目(004M33)

摘　　要：利用Ditzian-Totik模,对一类Baskakov型算子及其导数进行估计,得到了该算子加权逼近的正定理以及二阶导数与函数光滑性之间的等价关系.By means of Ditzian-Totik modulus, the Baskakov type operators and their derivatives are estimated in this paper. The direct theorem of weighted approximation as well as the equivalent realation between second derivatives and smoothness of the function are obtained.

关 键 词：BASKAKOV型算子 K泛函 导数 光滑性 

分 类 号：O174.41[理学—数学]