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Best m-term one-sided trigonometric approximation of some function classes defined by a kind of multipliers |
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| Authors: | Ren Suo Li Yong Ping Liu |
| Institution: | 1. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, P. R. China 2. Department of Mathematics, Shandong Agricultural University, Tai’an, 271018, P. R. China |
| Abstract: | In this paper, we continue studying the so-called non-linear best m-term one-sided approximation problems and obtain the asymptotic estimations of non-linear best m-term one-sided trigonometric approximation under the norm L p (1 ≤ p ≤ ∞) of multiplier function classes and the corresponding m-term Greedy-liked one-sided trigonometric approximation results. |
| Keywords: | non-linear best m-term approximation one-sided approximation Lp spaces trigonometric function system and Greedy approximation algorithm |
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