关于Lupas-Durrmeyer型算子对一类绝对连续函数的逼近  

On the Rate of Convergence of Lupas-Durrmeyer Type Operators for Some Absolutely Continuous Functions

作　　者：连博勇[1] LIAN Bo-yong(Department of Mathematics,Yang-En University,Quanzhou 362014,Fujian,China)

机构地区：[1]仰恩大学数学系,福建泉州362014

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2018年第5期401-403,407,共4页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：2016年福建省高校杰出青年科研人才培育计划

摘　　要：利用经典的Bojanic-Cheng分解方法,结合分析技术,讨论了Lupas-Durrmeyer型算子对一类导数为有界的绝对连续函数的逼近.By using Bojanic-Cheng＇s method and analysis techniques,the author studies the rate of convergence of Lupas-Durrmeyer type operators for some absolutely continuous functions having a derivative equivalent to a bounded function.

关 键 词：Lupas-Durrmeyer型算子 收敛阶 绝对连续函数 

分 类 号：O174.41[理学—数学]