一类算子的函数类逼近

On Approximation of Classes of Functions of Certain Operators

定义了 Feller算子 ,该类算子包括 Bernstein,Szasz,Baskakov,Gamma,Weierstrass等算子 .应用一些概率方法 ,研究 Feller算子及其修正对函数类的逼近 。

Feller operators are definded.Feller operators include some classical operators such as Bernstein,Szasz,Baskakov,Gamma,Weierstrass operators. Using some probabilitic methods,study the approximation of classes of functions for Feller operators and their modified forms,and obtain some general results.