摘要
本文主要讨论了指数型算子:Bernstein算子、Sz'asz—Mirakjan算子和Baskakov算子的一类线性组合的同时逼近问题。借助于K—泛函和加权光滑的等价关系给出了在一致逼近意义下的正定理和逆定理。
In this paper, we discuss the similtaneons approximation by the combination for Bernstein operator, Szasz-mirakjan operator and Baskakov operator, the direct and inverse theorems are given in unifogm approximation via K-functional and weighted moduli of smoothness as following:
基金
浙江省自然科学基金
关键词
指数型算子
同时逼近
线性组合
exponential-type operator
similtaneons approximation
uniform approximation
linear combination