基于(p,q) -整数的一类新的Durrmeyer型Baskakov算子的收敛阶  

Rate of convergence of a new family of Durrmeyer type Baskakov operators based on(p,q)-integers

作　　者：蔡清波[1] CAI Qingbo(School of Mathematics and Computer Science,Quanzhou Normal University,Quanzhou,Fujian 362000,China)

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：《福州大学学报（自然科学版）》2020年第6期685-691,共7页Journal of Fuzhou University(Natural Science Edition)

基　　金：福建省高等学校新世纪优秀人才支持计划;泉州市高层次人才创新创业资助项目(2018C087R);福建省自然科学基金资助项目(2020J01783)。

摘　　要：引入一类新的基于(p,q)-整数的Durrmeyer型Baskakov算子,利用计算出的算子的矩量和中心矩量导出该算子的加权逼近定理,并采用二阶光滑模和Steklov平均得到算子的收敛阶.In this paper,a new family of Durrmeyer type Baskakov operators based on(p,q)-integers are constructed,the estimates of some moments and central moments of these operators are obtained,weighted approximation theorems of those operators are established and the estimates on the rate of convergence by using the modulus of continuity of second order and Steklov mean are studied.

关 键 词：(p q)-整数 BASKAKOV算子 光滑模 收敛阶 Steklov平均 

分 类 号：O175.41[理学—数学]