| 多元Sikkema-Kantorovitch算子的Lp逼近 |
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| 引用本文： | 吴荣,吴雁.多元Sikkema-Kantorovitch算子的Lp逼近[J].华侨大学学报(自然科学版),2006,27(3):244-247. |
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| 作者姓名： | 吴荣 吴雁 |
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| 作者单位： | 1. 华侨大学数学系,福建,泉州,362021
2. 烟台大学数学与信息科学系,山东,烟台,264005 |
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| 摘 要： | 在单纯形上定义多元Sikkema-Kantorovitch算子kn(f),利用Ditizan-Totik光滑模讨论该算子的逼近问题,给出其强型正定理,估计出它在空间Lp的收敛速度并给予证明.文中的结果可以推广到K(K>2)维单纯形上.
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| 关 键 词： | 单纯形 多元Sikkema-Kantorovitch算子 逼近 强型正定理 光滑模 |
| 文章编号： | 1000-5013（2006）03-0244-04 |
| 收稿时间： | 2005-09-14 |
| 修稿时间： | 2005-09-14 |
Lp Approximation for Multivariate Sikkema-Kantorovitch Operators |
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| Wu Rong,Wu Yan.Lp Approximation for Multivariate Sikkema-Kantorovitch Operators[J].Journal of Huaqiao University(Natural Science),2006,27(3):244-247. |
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| Authors: | Wu Rong Wu Yan |
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| Institution: | 1. Department of Mathematics, Huaqiao University, 362021, Quanzhou, China; 2. Department of Mathematics and Informational Science, Yantai University, 264005, Yantai, China |
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| Abstract: | The multivariate Sikkema-Kantorovitch operators k_n(f) defined on the simplex are discussed by using the Ditizan-Totik modulus of smoothness.The strong-type direct theorem are given,and the rate of convergence is estimated and proven in the space L~p.The result can be qeneralized to multidimensional simplex. |
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| Keywords: | simplex the multivariate Sikkema-Kantorovitch operators approximation direct theorem modulus of smoothness |
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