An extrapolation theorem for nonlinear approximation and its applications
نویسنده
چکیده
We prove an extrapolation theorem for the nonlinear m-term approximation with respect to a system of functions satisfying very mild conditions. This theorem allows us to prove endpoint Lp − Lq estimates in nonlinear approximation. As a consequence, some known endpoint estimates can be deduced directly and some new estimates are also obtained. Finally, applications of these new estimates are given to spherical m-widths and m-term approximation of the weighted Besov classes. © 2006 Elsevier Inc. All rights reserved. MSC: Primary 41A46; 41A10
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عنوان ژورنال:
- Journal of Approximation Theory
دوره 143 شماره
صفحات -
تاریخ انتشار 2006