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.
作者
于洪朝
韩领兄
YU Hongchao;HAN Lingxiong(College of Mathematics Science,Inner Mongolia Minzu University,Tongliao 028043,China)
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)。
