A. Prymak

activity

20102026

most citedUniform and Pointwise Shape Preserving Approximation by Algebraic Polynomials

33 citations · 149 across the 36 of their papers we have counts for

collaborators

Showing 2022Show all

4 papers · 1 filter

math.NA2022★ 1 cited

On the cardinality of lower sets and universal discretization

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

A set $Q$ in $Z_{+}^{d}$ is a lower set if $(k_{1}, \dots, k_{d}) \in Q$ implies $(l_{1}, \dots, l_{d}) \in Q$ whenever $0 \leq l_{i} \leq k_{i}$ for all $i$ . We derive new and refine known results…

math.CA2022★ 1 cited

Polynomial approximation on $C^{2}$ -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 $C^{2}$ -domain $Ω\subse…

math.NA2022★ 8 cited

Optimal polynomial meshes exist on any multivariate convex domain

Feng Dai, Andriy Prymak

We show that optimal polynomial meshes exist for every convex body in $R^{d}$ , confirming a conjecture by A. Kroo.

math.NA2022★ 4 cited

On Bernstein- and Marcinkiewicz-type inequalities on multivariate $C^{α}$ -domains

Feng Dai, András Kroó, Andriy Prymak

We prove new Bernstein and Markov type inequalities in $L^{p}$ spaces associated with the normal and the tangential derivatives on the boundary of a general compact $C^{α}$ -domain with…

On the cardinality of lower sets and universal discretization

Polynomial approximation on C2-domains

Optimal polynomial meshes exist on any multivariate convex domain

On Bernstein- and Marcinkiewicz-type inequalities on multivariate Cα-domains

Polynomial approximation on $C^{2}$ -domains

On Bernstein- and Marcinkiewicz-type inequalities on multivariate $C^{α}$ -domains