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arXiv · 2001.10847

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

Kamen G. Ivanov·Pencho Petrushev
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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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Kamen G. Ivanov, Pencho Petrushev. 2020-01-29. Nonlinear spline approximation in $\operatorname{BMO}(\mathbb R)$. https://arxiv.org/abs/2001.10847

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