摘要
利用经典的Ditzian Totik光滑模,得到了广义Baskakov算子导数的点态和整体定理,并给出了在一定条件下,该算子的导数与所逼近函数的光滑性之间的关系.
By using of the Ditzian-Totik modulus of smoothness, the pointwise and general approximation theories of the derivatives of generalized Baskakov operators are studied, and the equivalence between the derivatives of the operator and the smoothness of the function being approximated under certain condition is given.
出处
《宁夏大学学报（自然科学版）》
CAS
北大核心
2005年第1期12-15,共4页
Journal of Ningxia University(Natural Science Edition)
基金
宁夏大学数学计算机学院青年科研基金资助项目(0306)
关键词
广义BASKAKOV算子
光滑模
正逆定理
generalized Baskakov operators
modulus of smoothness
direct and inverse theorms
