广义Baskakov算子逼近的强逆不等式  

Strong converse inequalities of approximation for generalized Baskakov operators

作　　者：马月梅[1] 刘国军[2] 

机构地区：[1]宁夏大学民族预科教育学院,宁夏银川750021 [2]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《辽宁工程技术大学学报（自然科学版）》2016年第12期1521-1526,共6页Journal of Liaoning Technical University (Natural Science)

摘　　要：为得到广义Baskakov算子逼近的逆定理,利用泰勒展开式、算子矩量估计、Hold不等式等分析方法,推导了该算子逼近的强逆不等式.通过加权K-泛函,得到广义Baskakov算子逼近逆定理的特征刻画.研究结果表明,所得的结果整合和拓展了已有的成果.In order to obtain the inverse theorem of operator approximation, the strong converse inequalities of generalized Baskakov operator are considered with some analysis techniques, such as Taylor＇s expansion, moment estimation of operators and Hold inequality. Characterizations of inverse theorem are derived by weighted K-functional. The study results further integrate and supplement the previous theorems.

关 键 词：广义BASKAKOV算子 K-泛函 强逆不等式 逼近 逆定理 

分 类 号：O174.41[理学—数学]