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
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.