Meyer-Knig-Zeller算子在Hlder范数下的逼近性质

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英文篇名：The Approximation Properties by Meyer-Knig-Zeller Operators in Hlder Norms 作者：马建硕 ; 齐秋兰 ; 杨戈 英文作者：MA Jian-shuo;QI Qiu-lan;YANG Ge;College of Mathematics and Information Science, Hebei Normal University; 关键词：Hlder空间 ; Meyer-Knig-Zeller算子 ; 连续模 ; K-泛函 英文关键词：hlder space;;meyer-knig-Zeller operators;;modulus of continuity;;k-functional 中文刊名：SSJS 英文刊名：Mathematics in Practice and Theory 机构：河北师范大学数学与信息科学学院; 出版日期：2018-01-23 出版单位：数学的实践与认识 年：2018 期：v.48 基金：国家自然科学基金(11571089);; 河北省教育厅资助(Z2015198) 语种：中文; 页：SSJS201802025 页数：4 CN：02 ISSN：11-2018/O1 分类号：202-205

摘要

首先介绍了Hlder空间中相关范数、连续模的基本概念以及Meyer-KnigZeller算子的定义,然后讨论了Meyer-Knig-Zeller算子在Hlder空间中的逼近性质.利用连续模与K-泛函的等价关系,得到了在Hlder范数下Meyer-Knig-Zeller算子对[0,1]上连续函数逼近的正定理.
        Firstly, the norm in Holder space and the definition of modulus of continuity, Meyer-Konig-Zeller operators were introduced. Secondly, the approximation properties by Meyer-Konig-Zeller operators in the Holder space were discussed. Using the equivalent relation between modulus of continuity and Peetre K-functional, the direct approximation theorem of continuous functions in Holder norms by Meyer-Konig-Zeller operators was obtained.

引文

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