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Jackson算子在Besov空间中的饱和类
The saturation class of Jackson operators in Besov spaces
【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 ,其结果的一个特例便为经典分析中有关Jackson算子饱和性的著名结果
【Abstract】 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.
【基金】 陕西省自然科学基金资助项目 ( 99SL0 2 )
- 【文献出处】 西安电子科技大学学报 ,Jounal of Xidian University , 编辑部邮箱 ,2001年05期
- 【分类号】TP13
- 【下载频次】27