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.
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)
出处
《扬州大学学报（自然科学版）》
CAS
北大核心
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).
