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

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Showing 2026Show all

4 papers · 1 filter

math.NA2026

Sampling discretization of the uniform norm for hyperbolic-cross trigonometric polynomials

Feng Dai, Andriy Prymak

We study sampling discretization of the uniform norm for trigonometric polynomials with frequencies in a hyperbolic cross of level $N$ on $\T^d$. For every $d, N \geq 2$ and $\varepsil…

math.MG2026

On Grünbaum's problem for symmetric configurations

Andrii Arman, Andriy Bondarenko, Andriy Prymak +1

Let $g_{n}$ be the largest number of Euclidean balls of diameter $1$ which may be needed to cover a set of diameter $1$ in $R^{n}$ . We study this problem for finite sets invar…

math.MG2026

Exponential bounds for the spherical Blaschke-Lebesgue problem

Abigail Hall, Andriy Prymak, Chanatip Sujsuntinukul

The Blaschke-Lebesgue theorem states that the Reuleaux triangle has the smallest area among planar convex bodies of a fixed constant width. We study how small bodies of constant wi…

math.CO2026

A construction of spherical $5$ -designs with $O (d^{2})$ points

Andrii Arman, Andriy Bondarenko, Andriy Prymak +1

For every $d \geq 1$ we give an explicit equal-weight spherical $5$ -design in $S^{d - 1} \subset R^{d}$ with at most $72 d^{2}$ points. Our approach utilizes recent construc…

Sampling discretization of the uniform norm for hyperbolic-cross trigonometric polynomials

On Grünbaum's problem for symmetric configurations

Exponential bounds for the spherical Blaschke-Lebesgue problem

A construction of spherical 5-designs with O(d2) points

A construction of spherical $5$ -designs with $O (d^{2})$ points