| 在平均框架下球面上的Cesa'ro算子逼近 |
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| 引用本文： | 张艳伟.在平均框架下球面上的Cesa'ro算子逼近[J].德州学院学报,2010,26(6). |
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| 作者姓名： | 张艳伟 |
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| 作者单位： | 枣庄学院数学与信息科学系; |
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| 摘 要： | 逼近的思想和方法渗透于几乎所有的学科,其中包括自然科学和人文学科中的学科.蛹数逼近论是近现代数学的重要研究方向.文中讨论Cesa'ro算子在平均框架下球面上的Sobolev空间中的逼近并且获得平均误差估计.
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| 关 键 词： | Banach空间 最佳逼近 Sobolev空间 Gaussian测度 |
Approximation by the Cesa'ro Operators on the Sphere in the Average Case Setting |
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| ZHANG Yan-wei.Approximation by the Cesa'ro Operators on the Sphere in the Average Case Setting[J].Journal of Dezhou University,2010,26(6). |
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| Authors: | ZHANG Yan-wei |
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| Institution: | ZHANG Yan-wei (Department of Mathematics and Information Science,Zaozhuang University,Zaozhuang Shandong 277160,China) |
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| Abstract: | The thought and method of approximation permeate in almost all the disciplines,includingdiscipline in the natural science and humanities.We discuss the approximation by the Cesa' ro operators on the sphere in the average case setting and obtain the average error estimations. |
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| Keywords: | banach space best approximation sobolev space gaussian measure |
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