Szasz型算子同时逼近的点态结果  

THE POINTWISE RESULTS ABOUT SIMULTANEOUS APPROXIMATION BY MEANS OF SZASZ-TYPE OPERATORS

作　　者：李秉政[1] 

机构地区：[1]杭州大学数学系

出　　处：《应用数学学报》1995年第3期394-403,共10页Acta Mathematicae Applicatae Sinica

基　　金：浙江省自然科学基金

摘　　要：本文给出了Ｓｚａｓｚ－Ｍｉｒａｋｊａｎ算子和Ｓｚａｓｚ－Ｋａｎｔｏｒｏｖｉｃｈ算子组合的同时逼近的点态结果，并用其导数给出了高阶Ｌｉｐｓｃｈｉｔｚ函数类的特征刻划．In this paper,we consider the linear combinations of Sasz-Mirakian operators and Szsz-Kantorovich operators and give the characterization in terms of the classical modulus of smoothness for ∞-norm by the means of the pointwise simultaneous approximation.An equivalence relation between the derivatives of these operators and smoothness of functions is also presented.

关 键 词：逼近 SZASZ算子 S-M算子 连续函数 S-K算子 

分 类 号：O174.41[理学—数学]