18 citations · 33 across the 5 of their papers we have counts for
5 papers
Entropy numbers and Marcinkiewicz-type discretization theorem
F. Dai, A. Prymak, A. Shadrin +2
This paper studies the behavior of the entropy numbers of classes of functions with bounded integral norms from a given finite dimensional linear subspace. Upper bounds of these en…
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…
Polynomial approximation on -domains
Feng Dai, Andriy Prymak
We introduce appropriate computable moduli of smoothness to characterize the rate of best approximation by multivariate polynomials on a connected and compact -domain $Ω\subse…
Convex polynomial approximation in with Freud weights
Oleksandr Maizlish, Andriy Prymak
We show that for multivariate Freud-type weights , , any convex function on satisfying if , or $\lim_{|x|\to\i…
On concentrators and related approximation constants
A. V. Bondarenko, A. Prymak, D. Radchenko
Pippenger ([Pippenger, 1977]) showed the existence of -concentrator for each positive integer using a probabilistic method. We generalize his approach and prove e…