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| 一类整函数插值型算子在Besov空间中的逼近 | |
| 引用本文： | 王建力,盛保怀,周颂平,李宏涛. 一类整函数插值型算子在Besov空间中的逼近[J]. 应用泛函分析学报, 2004, 6(2): 97-105 |
| 作者姓名： | 王建力 盛保怀 周颂平 李宏涛 |
| 作者单位： | 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 |
| 基金项目： | 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Hǒlder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． |
| 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 |
On Approximation by a Kind of Interpolation Operator of Entire Exponential Type in a Besov Spaces |
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| WANG Jian-li,SHENG Bao-huai,ZHOU Song-ping,LI Hong-tao. On Approximation by a Kind of Interpolation Operator of Entire Exponential Type in a Besov Spaces[J]. Acta Analysis Functionalis Applicata, 2004, 6(2): 97-105 | |
| Authors: | WANG Jian-li SHENG Bao-huai ZHOU Song-ping LI Hong-tao |
| Affiliation: | WANG Jian-li~1,SHENG Bao-huai~1,ZHOU Song-ping~2,LI Hong-tao~3 1. Department of Mathematics,Shaoxing Arts and Science College,Shaoxing 312000,China 2. Institute of Mathematics,Ningbo University,Ningbo 315211,China 3. Department of Mathematics,Baoji Arts and Science College,Baoji 721007,China |
| Abstract: | A new kind of Besov space is introduced with a K-functional which is defined by the Holder norm. The direct and inverse theorems of a generalized interpolation operator of entire exponential type in such a Besov space are established. |
| Keywords: | Besov space interpolation operator approximation |
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