论文标题
$ L_2 $中的最佳恢复
On optimal recovery in $L_2$
论文作者
论文摘要
我们证明，从类$ \ bf $的$ l_2 $ norm from恢复的最佳恢复误差可以按照统一规范中的$ \ bf $的值来限制。我们从具有混合平滑度的功能类别的$ \ bf $的许多示例中演示，所获得的不等式为估计最佳恢复错误提供了强大的工具。
We prove that the optimal error of recovery in the $L_2$ norm of functions from a class $\bF$ can be bounded above by the value of the Kolmogorov width of $\bF$ in the uniform norm. We demonstrate on a number of examples of $\bF$ from classes of functions with mixed smoothness that the obtained inequality provides a powerful tool for estimating errors of optimal recovery.
