| 球面上Peetre K－模和最佳逼近 |
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| 引用本文： | Berens,H 李落清.球面上Peetre K－模和最佳逼近[J].数学学报,1995,38(5):589-599. |
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| 作者姓名： | Berens H 李落清 |
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| 作者单位： | 湖北大学数学系 |
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| 摘 要： | 本文研究了球面上三种ＰｅｅｔｒｅＫ－模与最佳逼近的关系，建立起它们之间的若干强型和弱型不等式．此外，还讨论了Ｋ－模与光滑模的等价性．
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| 关 键 词： | d－维球面，PeetreK－模，光滑模，最佳逼近 |
| 收稿时间： | 1993-06-28 |
The Peetre K-Moduli and Best Approximation on the Sphere |
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| Institution: | Hubert Berens(Mathematical Institute,Erlangen University, Erlangen, 91054 Germany)Li Luoqing(Depertment of Mathematics,Hubei University, Wuhan 430062, China) |
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| Abstract: | There are various ways to describe the smoothness of functions on the sphere and,consequently, the best approximation may be estimated by different moduli of smoothness. An-other powerful modulus is Peetre’s K-modulus.Indeed, for functions on the sphere the Peetre K-moduli seem to be easier to handle. The aim of the paper is to present relationships between different K-moduli and best approximation, and to show that Peetre’s modulus is , in general, equivalent to a suitable modulus of smoothness. |
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| Keywords: | d-sphere Petre’s K-modulus modulus of smoothness best approximation |
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