一类修正的q-Baskakov-Beta算子的逼近性质  

Approximation Properties of the Modified q-Baskakov-Beta Operators

作　　者：刘蕊蕊[1] 胡晓敏[1] 吴华亭[1] 

机构地区：[1]杭州电子科技大学数学研究所,浙江杭州310018

出　　处：《杭州电子科技大学学报（自然科学版）》2016年第5期99-102,共4页Journal of Hangzhou Dianzi University：Natural Sciences

摘　　要：q-Baskakov-Beta算子作为q-Baskakov算子的变形算子具有许多优良的性质.介绍了一类新的修正的q-Baskakov-Beta算子,通过计算得出了该算子的各阶矩,并讨论了其矩估计;研究了该算子的逼近性质,证得该算子有界且收敛.The q-Baskakov-Beta operators have many better properties as the deformation of the q-Baskakov operators.This paper introduces a new modified q-Baskakov-Beta operators,gets the moments of this operators by calculating,and the moments estimation is discussed.It also investigates some kind of approximation properties of the operators,and gets that this operators with bounded and convergence.

关 键 词：q-Baskakov-Beta算子 K-泛函 光滑模 逼近 

分 类 号：O174.41[理学—数学]