论文标题

$ \ operatatorName {bmo}(\ mathbb r)$中的非线性样条近似

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

论文作者

Ivanov, Kamen G., Petrushev, Pencho

论文摘要

我们从$ \ operatatorName {bmo} $中研究非线性近似值,该$由$ \ mathbb r $ $ \ mathbb r $的常规多层嵌套分区产生的键结构。确定了杰克逊和伯恩斯坦的估计,可以完全表征相关的近似空间。

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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