2020/09/22 by Irina Viktorovna Limonova, Limonova, Irina, Vladimir Temlyakov +1 · 1 citation
Economics, Econometrics and Finance · Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Approximation and Integration #Numerical Analysis (math.NA) #Statistical Methods and Inference #Stochastic processes and financial applications
paper · pdf · doi:10.48550/arxiv.2009.10789
openalex publication_date 2020/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove a sampling discretization theorem for the square norm of functions from a finite dimensional subspace satisfying Nikol'skii's inequality with an upper bound on the number of sampling points of the order of the dimension of the subspace