| 二元非乘积型逼近算子的多元分解 |
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| 引用本文： | 徐吉华.二元非乘积型逼近算子的多元分解[J].湖北大学学报(自然科学版),1999,21(4):314-318. |
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| 作者姓名： | 徐吉华 |
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| 作者单位： | 湖北大学数学与计算机科学学院!湖北武汉，430062，湖北大学数学与计算机科学学院!湖北武汉，430062 |
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| 摘 要： | 运用多元分解技巧，成功地将二元非乘积型Ｂａｓｋａｋｏｖ算子和Ｍｅｙｅｒ－ＫｏｎｉｇａｎｄＺｅｌｌｅｒ算子化为两个相应一元算子的累次迭合，从而在一元逼近已有结构的基础上，应用逼近化原理得到这两个多元算子的逼近度量化定量，为研究多元处子逼近提供了一条简捷途径。
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| 关 键 词： | 非乘积型算子 多元分解 算子逼近 逼近 二元算子 |
| 文章编号： | 1000-2375(1999)04-0314-05 |
| 修稿时间： | 1999-03-31 |
Decomposition Technique for Multidimensinal Non-product Type Approximation Operators |
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| Xu Jihua, Zhao Jinghui.Decomposition Technique for Multidimensinal Non-product Type Approximation Operators[J].Journal of Hubei University(Natural Science Edition),1999,21(4):314-318. |
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| Authors: | Xu Jihua Zhao Jinghui |
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| Institution: | Xu Jihua;(Faculty of Mathematics and
Computer Science,Hubei University,Wuhan430062,China) |
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| Abstract: | It is Discased tha two - dimensional Baskakov and M - K - Z operators has been decomposed successfully into composites of one - dimensinal corresponding operators by using decomposition technique for multidimensional operators,Therefore it is obtained the quantitative theorem of apporoximation degree for these two operators. |
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| Keywords: | Two dimensinal operators Decomposition technigue Estimate of approximation degree Interpolation space Approximation transform theorem |
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