E. Kosov

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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.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

Sampling discretization of the uniform norm and applications

Empirical Approximation of $L_{p}$ Norms