Szász-Mirakjan-Kantorovich算子在Orlicz空间中逼近正定理  

The Direct Theorem of Approximation by Szász-Mirakjan-Kantorovich Operators in Orlicz Spaces

作　　者：于洪朝 韩领兄[1] YU Hongchao;HAN Lingxiong(College of Mathematics Science,Inner Mongolia Minzu University,Tongliao 028043,China)

机构地区：[1]内蒙古民族大学数学科学学院,内蒙古通辽028043

出　　处：《内蒙古民族大学学报（自然科学版）》2024年第6期40-45,共6页Journal of Inner Mongolia Minzu University：Natural Sciences Edition

基　　金：内蒙古自治区自然科学基金青年项目(2023QN01004)。

摘　　要：为了得到Szász-Mirakjan-Kantorovich算子的更好的逼近性质,利用修正的加权K-泛函与加权光滑模的等价性、Jensen不等式和Hardy-Littlewood函数性质,在由Young函数生成的Orlicz空间L_(Φ)^(*)[0,∞)中研究Szász-Mirakjan-Kantorovich算子逼近性质,得到了逼近正定理。In order to obtain better approximation properties of the Szász-Mirakjan-Kantorovich operator,by using the equivalence of the modified weighted K-functional and the weighted smooth modulus,Jensen’s inequality and the properties of Hardy-Littlewood functions,the approximation properties of the Szász-Mirakjan-Kantorovich operator are studied in the Orlicz space L_(Φ)^(*)[0,∞)by the Young function and the direct theorem of approximation is obtained.

关 键 词：ORLICZ空间 Szász-Mirakjan-Kantorovich算子 正定理 K-泛函 光滑模 

分 类 号：O174.41[理学—数学]