Bernstein算子的导数加Jacobi权逼近的正逆定理  

The direct and the inverse approximated theorem of the derivatives of the Bernstein operators with Jacobi weights

作　　者：李景斌[1] 

机构地区：[1]西北第二民族学院经济管理系,宁夏银川750021

出　　处：《兰州大学学报（自然科学版）》2006年第4期111-113,共3页Journal of Lanzhou University(Natural Sciences)

摘　　要：利用加权K-泛函与加权光滑模的等价关系,得到了加权意义下Bernstein算子的导数与它所逼近函数的光滑性之间关系的等价定理．Using the equivalence relation between weighted K-functional and weighted modula of smoothness, a direct theorem and inverse theorem of the relation connected with deriwtives of the Bernstein operators and the smoothness of functions are obtained.

关 键 词：BERNSTEIN算子 加权K-泛函 加权光滑模 加权逼近 

分 类 号：O174.41[理学—数学]