修正二元Gauss-Weierstrass算子线性组合在L_(p)(R^(2)+)空间中的逼近  

Approximation of modified linear combination of binary Gauss-Weierstrass operators in L_(p)(R^(2)+)spaces

作　　者：官心果 钟宇 余泉 赵静 余吉东 刘朝军 GUAN Xinguo;ZHONG Yu;YU Quan;ZHAO Jing;YU Jidong;LIU Chaojun(School of Mathematics and Computer Science,Qiannan Normal University for Nationalities,Duyun 558000,China;College of Preparatory Education,Qiannan Normal University for Nationalities,Duyun 558000,China)

机构地区：[1]黔南民族师范学院数学与统计学院,贵州都匀558000 [2]黔南民族师范学院预科教育学院,贵州都匀558000

出　　处：《扬州大学学报（自然科学版）》2023年第6期1-5,共5页Journal of Yangzhou University：Natural Science Edition

基　　金：贵州省教育厅普通本科高校科学研究(青年项目)基金资助项目(黔教技〔2022〕386号,378号,380号);贵州省教育厅自然科学研究基金资助项目(黔教合KY字[2019]067).

摘　　要：借助K-泛函、广义Minkowski不等式、极大函数的定义及其性质,给出修正二元Gauss-Weierstrass算子线性组合在L_(p)(R^(2)+)空间中的逼近定理,并对此定理进行了证明.The purpose of adding linear combinations to positive linear operators is to improve the approximation order.The binary Gauss-Weierstrass operator belongs to this kind of positive linear operator.In this paper,by means of K-functional,generalized Minkowski inequality,definition and properties of maximal function,the approximation theorem of linear combination of modified binary Gauss-Weierstrass operator in L_(p)(R^(2)+)space is given and proved.

关 键 词：GAUSS-WEIERSTRASS算子 K-泛函 广义MINKOWSKI不等式 极大函数 L_(p)(R^(2)+)空间 

分 类 号：O174.41[理学—数学]