Jackson算子在Besov空间中的饱和类  

The saturation class of Jackson operators in Besov spaces

作　　者：张三敖[1] 盛宝怀[2] 刘三阳[2] 

机构地区：[1]宝鸡文理学院数学系,陕西宝鸡721007 [2]西安电子科技大学理学院,陕西西安710071

出　　处：《西安电子科技大学学报》2001年第5期646-650,共5页Journal of Xidian University

基　　金：陕西省自然科学基金资助项目 ( 99SL0 2 )

摘　　要：借助H彲ｌｄｅｒ范数引入了一种 K 泛函 ,由此用K 方法构造了一类新的内插型的Besov空间 ,并将此类Besov空间成功地应用于讨论算子逼近的饱和性问题 。With the help of Hǒlder norm, a kind of K functional is introduces, with which a new kind of interpolation type Besov space is established by the K method. The Saturation of Jackson operator is presented successfully by the Besov space. It is the first time that the saturation of an operator has been presented with an interpolation space. The classic well known saturation theorem for the Jackson operator is a special case of the results obtained.

关 键 词：Jackson算子 BESOV空间 饱和性 

分 类 号：O174.41[理学—数学]