q-Durrmeyer-Stancu算子的统计逼近性质  

Statistical Approximation Properties of the q-Durrmeyer-Stancu Operators

作　　者：任美英[1] 

机构地区：[1]武夷学院数学与计算机学院,福建武夷山354300

出　　处：《武夷学院学报》2014年第5期1-5,共5页Journal of Wuyi University

基　　金：福建省自然科学基金资助项目(项目编号:2013J01017;2014J01021);福建省教育厅A类科技项目(项目编号:JA12324)

摘　　要：本文引进一类q-Durrmeyer-Stancu算子,并研究该算子列的一些统计逼近性质。得到算子列的统计逼近定理,同时借助连续模和Lipschitz函数类给出算子列统计收敛速度的估计。In this paper, a kind of q-Durrmeyer-Stancu operators is introduced. Some statistical approximation properties of these operators are studied. The statistical approximation theorem of these operators is given. The estimates of the rate of statistical convergence for these operators are also investigated by means of modulus of continuity and the help of functions of the Lipschitz class.

关 键 词：统计逼近 q-Durrmeyer-Stancu算子 收敛速度 连续模 q-积分 

分 类 号：O174.41[理学—数学]