Nonlinear spline approximation in $\operatorname{BMO}(\mathbb R)$

Published 29 Jan 2020 in math.CA | (2001.10847v1)

Abstract: We study nonlinear approximation in $\operatorname{BMO}$ from splines generated by a hierarchy of B-splines over regular multilevel nested partitions of $\mathbb R$. Companion Jackson and Bernstein estimates are established that allow to completely characterize the associated approximation spaces.

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