Liudmyla Kryvonos

activity

20212026

collaborators

5 papers

math.CA2026

Energy, Polarization, and Separation of Greedy Sequences for Riesz and Green Kernels

Dmitriy Bilyk, Liudmyla Kryvonos, Ryan W. Matzke +1

We investigate the asymptotic behavior of greedy $s$ -Riesz and Green energy sequences ${x_{n}}_{n = 1}^{\infty}$ on the unit sphere $S^{d} \subset R^{d + 1}$ , where…

math.PR2024

On a problem of E. Meckes for the unitary eigenvalue process on an arc

Liudmyla Kryvonos, Edward B. Saff

We study the problem originally communicated by E. Meckes on the asymptotics for the eigenvalues of the kernel of the unitary eigenvalue process of a random $n \times n$ matrix. Th…

math.HO2023

Open problems on polynomials, their zero distribution and related questions: 2023

Liudmyla Kryvonos

This paper collects open problems that were presented at the ``Hausdorff Geometry of Polynomials" workshop held on July 10-14, 2023 in Sofia, Bulgaria.

math.CV2022

Almost optimal polynomial approximation on convex sets in $C$

Liudmyla Kryvonos

For a function $f$ , continuous on a compact convex set $K$ and analytic in its interior we construct a sequence of almost optimal polynomials that converge with a geometric rate at…

math.CV2021

Polynomial approximation of piecewise analytic functions on quasi-smooth arcs

Liudmyla Kryvonos

For a function $f$ that is piecewise analytic on a quasi-smooth arc $L$ and any $0 < σ < 1$ we construct a sequence of "near-best" polynomials that converge at a rate $e^{-n^…

Energy, Polarization, and Separation of Greedy Sequences for Riesz and Green Kernels

On a problem of E. Meckes for the unitary eigenvalue process on an arc

Open problems on polynomials, their zero distribution and related questions: 2023

Almost optimal polynomial approximation on convex sets in C

Polynomial approximation of piecewise analytic functions on quasi-smooth arcs

Almost optimal polynomial approximation on convex sets in $C$