K阶Sikkema-Kantorovitch算子L^p逼近的正逆定理  

The Direct and Inverse Theorems forApproximation of the SikkemaKantrovitch Operators of Order K

作　　者：吴雁[1] 

机构地区：[1]烟台大学数学与信息科学系,山东烟台264005

出　　处：《烟台大学学报（自然科学与工程版）》2002年第4期235-240,共6页Journal of Yantai University(Natural Science and Engineering Edition)

摘　　要：利用Ditizan Totik光滑模讨论了K阶Sikkema Kantorovitch算子的逼近问题,给出了它的强型正定理和弱型逆定理 在逆定理中取消了对αn的限制,从而很容易得到其逼近的特征刻化.The approximation of the sikkemaKantorovitch operators of order K are discussed by using of the DitizanTotik modulus of smoothness,and the strongtype direct theorem and the weaktype inverse theorem of the appoximation are given.The inverse theorem has not limit for αn,thus its approximation characterization is easily obtained.

关 键 词：K阶Sikkema-Kantorovitch算子 正弱型逆定理 Ditizan-Totik光滑模 算子逼近 强型正定理 

分 类 号：O174.41[理学—数学]