一类整函数插值型算子在Besov空间中的逼近(英文)  

On Approximation by a Kind of Interpolation Operator of Entire Exponential Type in a Besov Spaces

作　　者：王建力[1] 盛保怀[1] 周颂平[2] 李宏涛[3] 

机构地区：[1]绍兴文理学院数学系,浙江绍兴312000 [2]宁波大学数学研究所,浙江宁波315211 [3]宝鸡文理学院数学系,陕西宝鸡721007

出　　处：《应用泛函分析学报》2004年第2期97-105,共9页Acta Analysis Functionalis Applicata

基　　金：Supported by National Natural Sciences Foundation (10 14 10 0 1) ;Zhejiang NaturalSciences Foundation (10 2 0 6 6 ) and the Doctorate Fundation (0 2 J2 0 10 2 - 0 6 ) of Ningbo City

摘　　要：　借助于H lder范数而引入K-泛函,从而给出了一类新的内插型Besov空间,由此给出了一类整函数插值型算子逼近的正逆定理.A new kind of Besov space is introduced with a K-functional which is defined by the Holder norm. The direct and inverse theorems of a generalized interpolation operator of entire exponential type in such a Besov space are established.

关 键 词：Hǒlder范数 K-泛函 BESOV空间 插值型算子 整指数型 算子逼近 

分 类 号：O177[理学—数学]