Meyer-Knig-Zeller算子在Hlder范数下的逼近性质  

The Approximation Properties by Meyer-Knig-Zeller Operators in Hlder Norms

作　　者：马建硕 齐秋兰 杨戈 MA Jian-shuo;QI Qiu-lan;YANG Ge(College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, Chin)

机构地区：[1]河北师范大学数学与信息科学学院

出　　处：《数学的实践与认识》2018年第2期200-203,共4页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11571089);河北省教育厅资助(Z2015198)

摘　　要：首先介绍了Holder空间中相关范数、连续模的基本概念以及Meyer—Konig-Zeller算子的定义，然后讨论了Meyer—Konig—Zeller算子在Holder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Holder范数下Meyer—Konig．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.

关 键 词：Holder空间 MEYER-KONIG-ZELLER算子 连续模 K-泛函 

分 类 号：O177[理学—数学]