Andriy Prymak

most citedSampling discretization of integral norms

10 citations · 15 across the 3 of their papers we have counts for

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math.CA2020★ 10 cited

Sampling discretization of integral norms

F. Dai, A. Prymak, A. Shadrin +2

The paper is devoted to discretization of integral norms of functions from a given finite dimensional subspace. Even though this problem is extremely important in applications, its…

math.CA2014

Convex polynomial approximation in $R^{d}$ with Freud weights

Oleksandr Maizlish, Andriy Prymak

We show that for multivariate Freud-type weights $W_{α} (x) = exp (- ∣ x ∣^{α})$ , $α > 1$ , any convex function $f$ on $R^{d}$ satisfying $f W_{α} \in L_{p} (R^{d})$ if $1 \leq p < \infty$ , or $\lim_{|x|\to\i…

math.CA2014★ 5 cited

On concentrators and related approximation constants

A. V. Bondarenko, A. Prymak, D. Radchenko

Pippenger ([Pippenger, 1977]) showed the existence of $(6 m, 4 m, 3 m, 6)$ -concentrator for each positive integer $m$ using a probabilistic method. We generalize his approach and prove e…

Sampling discretization of integral norms

Convex polynomial approximation in Rd with Freud weights

On concentrators and related approximation constants

Convex polynomial approximation in $R^{d}$ with Freud weights