| 广义Besov函数类$B_{p,theta}^Omega$上的三角宽度及最佳$N$-项逼近 |
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| 引用本文： | 段立芹,房艮孙. 广义Besov函数类$B_{p,theta}^Omega$上的三角宽度及最佳$N$-项逼近[J]. 数学研究及应用, 2011, 31(1): 129-141 |
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| 作者姓名： | 段立芹 房艮孙 |
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| 作者单位： | 杭州电子科技大学理学院数学研究所, 浙江 杭州 310018;北京师范大学数学科学学院, 北京 100875; |
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| 基金项目： | 国家自然科学基金 (Grant No.10671019), 杭州电子科技大学基金 (Grant No.KYS091507089). |
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| 摘 要： | In this paper, we determine the estimates exact in order for the trigonometric widths and the best n-term trigonometric approximations of the generalized classes of periodic functions B^Ωpθ in the space Lq for some values of parameters p, q.
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| 关 键 词： | trigonometric width best n-term approximation generalized Besov classes. |
| 收稿时间： | 2009-02-04 |
| 修稿时间： | 2009-05-18 |
Trigonometric Widths and Best $N$-Term Approximations of the Generalized Periodic Besov Classes $B_{p,theta}^Omega$ |
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| Li Qin DUAN and Gen Sun FANG. Trigonometric Widths and Best $N$-Term Approximations of the Generalized Periodic Besov Classes $B_{p,theta}^Omega$[J]. Journal of Mathematical Research with Applications, 2011, 31(1): 129-141 |
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| Authors: | Li Qin DUAN and Gen Sun FANG |
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| Affiliation: | Institute of Mathematics, Hangzhou Dianzi University, Zhejiang 310018, P. R. China;School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, P. R. China |
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| Abstract: | In this paper, we determine the estimates exact in order for the trigonometric widths and the best $n$-term trigonometric approximations of the generalized classes of periodic functions $B_{p,theta}^Omega$ in the space $L_q$ for some values of parameters $p$, $q$. |
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| Keywords: | trigonometric width best $n$-term approximation generalized Besov classes. |
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