关于Lupas-Durrmeyer型算子对一类绝对连续函数的逼近

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英文篇名：On the Rate of Convergence of Lupas-Durrmeyer Type Operators for Some Absolutely Continuous Functions 作者：连博勇 英文作者：LIAN Bo-yong;Department of Mathematics,Yang-En University; 关键词：Lupas-Durrmeyer型算子 ; 收敛阶 ; 绝对连续函数 英文关键词：Lupas-Durrmeyer type operator;;rate of convergence;;absolutely continuous function 中文刊名：NMSB 英文刊名：Journal of Inner Mongolia Normal University(Natural Science Edition) 机构：仰恩大学数学系; 出版日期：2018-09-15 出版单位：内蒙古师范大学学报(自然科学汉文版) 年：2018 期：v.47;No.193 基金：2016年福建省高校杰出青年科研人才培育计划 语种：中文; 页：NMSB201805009 页数：4 CN：05 ISSN：15-1049/N 分类号：38-40+44

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.

引文

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