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 Lp (1 ≤ p ≤ ∞) of multiplier function classes and the corresponding m-term Greedy-liked one-sided trigonometric approximation results.