| Trigonometric Widths and Best $N$-Term Approximations of the Generalized Periodic Besov Classes $B_{p,\theta}^\Omega$ |
| Received:February 04, 2009 Revised:May 18, 2009 |
| Key Words:
trigonometric width best $n$-term approximation generalized Besov classes.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10671019) and Scientific Research Foundation of Hangzhou Dianzi University (Grant No.KYS091507089). |
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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 $p$, $q$. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.01.015 |
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