Nonlinear spline approximation in $\operatorname{BMO}(\mathbb R)$
Classical Analysis and ODEs
2020-01-30 v1
Abstract
We study nonlinear approximation in from splines generated by a hierarchy of B-splines over regular multilevel nested partitions of . Companion Jackson and Bernstein estimates are established that allow to completely characterize the associated approximation spaces.
Keywords
Cite
@article{arxiv.2001.10847,
title = {Nonlinear spline approximation in $\operatorname{BMO}(\mathbb R)$},
author = {Kamen G. Ivanov and Pencho Petrushev},
journal= {arXiv preprint arXiv:2001.10847},
year = {2020}
}