E. Kosov

collaborators

3 papers

math.FA2026

Empirical Approximation of $L_{p}$ Norms

Feng Dai, Egor Kosov, Noel Murasko

We study empirical $L_{p}$ moments of a random vector $I ¨ $ based on its i.i.d.\ copies $I ¨ ^{1}, \dots, I ¨ ^{m}$ , that is, $\frac{1}{m} \sum_{j = 1}^{m} ∣ ⟨ I ¨ ^{j}, y ⟩ ∣^{p}$ . O…

math.NA2024

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 $L_{p}$ -norm for function classes of continuous functions. We use basic approaches f…

math.FA2024

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 $N$ -dimensiona…

Empirical Approximation of Lp​ Norms

Bounds for the sampling discretization error and their applications to the universal sampling discretization

Sampling discretization of the uniform norm and applications

Empirical Approximation of $L_{p}$ Norms