2 papers
math.NA2026
A survey of sampling discretization of integral and uniform norms
F. Dai, E. Kosov, V. Temlyakov
This paper surveys recent developments in the sampling discretization of integral and uniform norms for functions in general finite-dimensional spaces. These results generalize the…
math.FA2024
Sampling discretization in Orlicz spaces
Egor Kosov, Sergey Tikhonov
We obtain new sampling discretization results in Orlicz norms on finite dimensional spaces. As applications, we study sampling recovery problems, where the error of the recovery pr…