6 citations · 11 across the 5 of their papers we have counts for
5 papers
Empirical Approximation of Norms
Feng Dai, Egor Kosov, Noel Murasko
We study empirical moments of a random vector based on its i.i.d.\ copies , that is, . Our m…
Bounds for the sampling discretization error and their applications to the universal sampling discretization
E. D. Kosov, V. N. Temlyakov
In the first part of the paper we study absolute error of sampling discretization of the integral -norm for function classes of continuous functions. We use basic approaches f…
Sampling discretization of the uniform norm and applications
E. D. Kosov, V. N. Temlyakov
Discretization of the uniform norm of functions from a given finite dimensional subspace of continuous functions is studied. Previous known results show that for any -dimensiona…
Some improved bounds in sampling discretization of integral norms
F. Dai, E. Kosov, V. Temlyakov
The paper addresses a problem of sampling discretization of integral norms of elements of finite-dimensional subspaces satisfying some conditions. We prove sampling discretization…
Sampling discretization and related problems
B. Kashin, E. Kosov, I. Limonova +1
This survey addresses sampling discretization and its connections with other areas of mathematics. The survey concentrates on sampling discretization of norms of elements of finite…