18 citations · 18 across the 10 of their papers we have counts for
4 papers · 1 filter
Whitney-type estimates for convex functions
Jaskaran Singh Kaire, Andriy Prymak
We study Whitney-type estimates for approximation of convex functions in the uniform norm on various convex multivariate domains while paying a particular attention to the dependen…
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…
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…
Christoffel function on planar domains with piecewise smooth boundary
A. Prymak, O. Usoltseva
We compute up to a constant factor the Christoffel function on planar domains with boundary consisting of finitely many curves such that each corner point of the boundary has…