Kantorovich型q-Szász-Mirakjan-Schurer算子的加权统计逼近性质  

Weighted Statistical Approximation Properties of the Kantorovich Type q-Szász-Mirakjan-Schurer Operators

作　　者：蔡清波[1] 

机构地区：[1]泉州师范学院数学与计算机科学学院,福建泉州362000

出　　处：《三明学院学报》2011年第5期8-12,共5页Journal of Sanming University

基　　金：福建省教育厅科技项目(JK2011041)

摘　　要：基于q-积分的概念,研究了一类q-Szász-Mirakjan-Schurer算子的逼近性质,通过计算得到算子的各阶矩量及中心矩量,通过引入统计收敛定义得到算子的加权统计收敛定理,并通过加权光滑模研究了算子的局部逼近性质,得到了算子的局部逼近定理。Based on the concept of q-integral,a Kantorovich type Szász-Mirakjan-Schurer operators was introduced in this paper.Moments and central moments of the operators was gotten through calculation and weighted statistical approximation theorem of the operators was obtained through the definition of statistical approximation.Local approximation properties were investigated by weighted modulus of smoothness and a local approximation theorem of the operators was established.

关 键 词：KANTOROVICH型算子 q-积分 q-Szász-Mirakjan-Schurer算子 加权统计逼近 收敛阶 

分 类 号：O174.41[理学—数学]