广义Baskakov算子及导数的正逆定理  

Generalized Baskakov operators and the direct and inverse theorem of its derivatives

作　　者：王丽[1] 薛银川[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《宁夏大学学报（自然科学版）》2002年第2期105-107,共3页Journal of Ningxia University(Natural Science Edition)

基　　金：宁夏自然科学基金资助项目(A001)

摘　　要：给出了广义Baskakov算子的点态正逆定理,并研究了广义Baskakov算子导数与所逼近函数光滑性之间的关系.In this paper, the positive and inverse approximation theorem of generalized Baskakov operators are studied. Using the DitzianTotik moduli of smoothness, the relations between the derivatives of generalized Baskakov operators and the smoothness of its functions are discussed.

关 键 词：广义BASKAKOV算子 导数 DITZIAN-TOTIK光滑模 正定理 逆定理 函数逼近 点态逼近定理 

分 类 号：O174.41[理学—数学]