节点文献
二元非乘积型逼近算子的多元分解
Decomposition Technique for Multidimensinal Non-product Type Approximation Operators
【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果的基础上,应用逼近转化原理得到这两个多元算子的逼近度量化定理,为研究多元算子逼近提供了一条简捷途径.
【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.
【关键词】 二元非乘积型算子;
多元分解技巧;
逼近度估计;
插补空间;
逼近转化原理;
【Key words】 Two dimensinal operators; Decomposition technigue; Estimate of approximation degree; Interpolation space; Approximation transform theorem;
【Key words】 Two dimensinal operators; Decomposition technigue; Estimate of approximation degree; Interpolation space; Approximation transform theorem;
【基金】 湖北省自然科学基金
- 【文献出处】 湖北大学学报(自然科学版) ,JOURNAL OF HUBEI UNIVERSITY(NATURAL SCIENCE EDITION) , 编辑部邮箱 ,1999年04期
- 【分类号】O174.41
- 【被引频次】5
- 【下载频次】17