摘要
引进了新的Jacobi权函数.首先,指出广义Baskakov算子在通常加权范数下是无界的;其次,引入一种新 的范数,讨论了广义Baskakov算子加Jacobi权逼近的收敛性;最后,借助于K 泛函给出了其在加权意义下的逼近 等价定理.
In this paper, we introduce a new Jacobi weight. Firstly, we show that the generalized Baskakov operators are unbounded with usual weighted norm. Then, we give a new norm and discuss the approximation with weights for generalized Baskakov operators with this new norm. Lastly, with the help of the K-functional, we give the equivalent theorem of approximation with weights.
出处
《宁夏大学学报（自然科学版）》
CAS
2004年第3期196-200,共5页
Journal of Ningxia University(Natural Science Edition)
基金
宁夏大学自然科学基金资助项目(032105)
关键词
广义BASKAKOV算子
JACOBI权
加权逼近
范数
逼近等价定理
K-泛函
收敛性
权函数
generalized Baskakov operators
approximation with weights
K-functionalract:A ring R is called a left (right) SF-ring if all simple left (right) R-modules are flat. In this paper, we study the regularity of SF-rings which satisfy certain additional conditions, and prove that ①if ring R is a left(or right) SF-ring whose every left annihilator of nilpotent is a essential left ideal,then R is a strongly regular ring, ②if R is a left(or right)SF-ring,then R is a division ring if only if R is a left uniform ring.Key words: strongly regular rings
SF-rings
nilpotent
annihilators
essential left ideals
