33 citations · 149 across the 36 of their papers we have counts for
4 papers · 1 filter
On directional Whitney inequality
Feng Dai, Andriy Prymak
This paper studies a new Whitney type inequality on a compact domain that takes the form $$\inf_{Q\in Π_{r-1}^d({\mathcal{E}})} \|f-Q\|_p \leq C(p,r,Ω) ω_…
-Bernstein inequalities on -domains and applications to discretization
Feng Dai, Andriy Prymak
We prove a new Bernstein type inequality in spaces associated with the tangential derivatives on the boundary of a general compact -domain. We give two applications: Mar…
Geometric computation of Christoffel functions on planar convex domains
A. Prymak
For arbitrary planar convex domain, we compute the behavior of Christoffel function up to a constant factor using comparison with other simple reference domains. The lower bound is…
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…