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

preprint2020arXivOpen access

Abstract

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

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