q-Baskakov型算子的A-统计逼近  

A-statistical approximation of q-Baskakov type operators

作　　者：刘生贵[1] 

机构地区：[1]嘉应学院数学学院,广东梅州514015

出　　处：《纯粹数学与应用数学》2014年第4期367-376,共10页Pure and Applied Mathematics

基　　金：国家自然科学基金(11001107)

摘　　要：引入一类q-Baskakov型算子,对一个非负正则可求和矩阵A,应用A-统计逼近的理论,研究了这类修正的Korovkin型统计逼近性质.对于0<q≤1,借助连续性模,证得这类q-Baskakov型算子的收敛速度要优于q-Baskakov算子.In this paper, the q-Baskakov type operators are introduced. And we investigate the Korovkin type statistical approximation properties of these operators via A-statistical approximation. For 0 〈 q ≤ 1, we show that the rate of convergence for these q-Baskakov type operators is better than the q-Baskakov operators by means of the modulus of continuity.

关 键 词：统计逼近 q-Baskakov型算子 连续性模 

分 类 号：O174.41[理学—数学]