Best m-term one-sided trigonometric approximation of some function classes defined by a kind of multipliers

Authors
Li, Ren Suo Liu, Yong Ping
Citation
Li, Ren Suo et Liu, Yong Ping, Best m-term one-sided trigonometric approximation of some function classes defined by a kind of multipliers, Acta mathematica Sinica. English series (Print) , 26(5), 2010, pp. 975-984
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
26
Issue
5
Year of publication
2010
Pages
975 - 984
Database
ACNP
SICI code
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.