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Andriy Prymak

0000-0002-5022-0154
math.CAmath.MGcs.NAmath.NAmath.COmath.FAmath.DGmath.PR

On Valency

published · living versions
W_q2taaj8g·v1 · currentpublished
Borsuk number in four dimensions is at most seven
with Andrii Arman, Andriy Bondarenko, Danylo Radchenko
1 version
W_tnapdhc9·v1published
An exponential improvement for Borsuk's problem

Preprints & journals

39 papers in the corpus · 2010–2026
Sampling discretization of the uniform norm for hyperbolic-cross trigonometric polynomials2610.07679v1 · Feng Dai, Andriy Prymak2026 · 0 citationsarXiv
On Grünbaum's problem for symmetric configurations2607.22032v1 · Andrii Arman, Andriy Bondarenko, Andriy Prymak et al.2026 · 0 citationsarXiv
Exponential bounds for the spherical Blaschke-Lebesgue problem2606.30960v2 · Abigail Hall, Andriy Prymak, Chanatip Sujsuntinukul2026 · 0 citationsarXiv
A construction of spherical 55-designs with O(d2)O(d^2) points2606.01376v1 · Andrii Arman, Andriy Bondarenko, Andriy Prymak et al.2026 · 0 citationsarXiv
On asymptotic Lebesgue's universal covering problem2512.04023v2 · Andrii Arman, Andriy Bondarenko, Andriy Prymak et al.2025 · 0 citationsBull. London Math. Soc. 58 (2026), no. 10, e70514
Hadwiger's conjecture for cap bodies2510.25968v3 · Andrii Arman, Jaskaran Singh Kaire, Andriy Prymak2025 · 0 citationsarXiv
Illumination number of 3-dimensional cap bodies2507.08712v2 · Andrii Arman, Jaskaran Singh Kaire, Andriy Prymak2025 · 0 citationsarXiv
On a Gallai-type problem and illumination of spiky balls and cap bodies2408.01341v1 · Andrii Arman, Andriy Bondarenko, Andriy Prymak et al.2024 · 1 citationarXiv
Small Volume Bodies of Constant Width with Tetrahedral Symmetries2406.18428v2 · Andrii Arman, Andriy Bondarenko, Andriy Prymak et al.2024 · 0 citationsSIGMA 21 (2025), 109, 8 pages
Small volume bodies of constant width2405.18501v2 · Andrii Arman, Andriy Bondarenko, Fedor Nazarov et al.2024 · 1 citationInternational Mathematics Research Notices, 2025 (2025), no. 4, 1-7
On Hadwiger's covering problem in small dimensions2404.00547v1 · Andrii Arman, Andriy Bondarenko, Andriy Prymak2024 · 2 citationsarXiv
Whitney-type estimates for convex functions2311.00912v4 · Jaskaran Singh Kaire, Andriy Prymak2023 · 0 citationsPure and Applied Functional Analysis, 10 (2025), no. 3, 641-651
Convex bodies of constant width with exponential illumination number2304.10418v3 · Andrii Arman, Andriy Bondarenko, Andriy Prymak2023 · 1 citationarXiv
On the cardinality of lower sets and universal discretization2208.02113v2 · F. Dai, A. Prymak, A. Shadrin et al.2022 · 1 citationJournal of Complexity, 76 (2023), 101726
Optimal polynomial meshes exist on any multivariate convex domain2205.14111v2 · Feng Dai, Andriy Prymak2022 · 7 citationsFoundations of Computational Mathematics, 24 (2024), 989-1018
On Bernstein- and Marcinkiewicz-type inequalities on multivariate CαC^\alpha-domains2204.02349v2 · Feng Dai, Andr'as Kro'o, Andriy Prymak2022 · 4 citationsJ. Approx. Theory, 305 (2025), 106101
Upper bounds on chromatic number of En\mathbb{E}^n in low dimensions2112.13438v2 · Andrii Arman, Andriy V. Bondarenko, Andriy Prymak et al.2021 · 1 citationElectron. J. Combin., 31(2) (2024), #P2.35
Every 33-dimensional convex body can be covered by 1414 smaller homothetic copies2112.10698v2 · A. Prymak2021 · 5 citationsSIAM J. Discrete Math., 37 no. 1 (2023), 17-24
Spherical coverings and X-raying convex bodies of constant width2011.06398v3 · A. Bondarenko, A. Prymak, D. Radchenko2020 · 4 citationsCanad. Math. Bull., 65 (4) 2022, 860-866
LpL^p-Bernstein inequalities on C2C^2-domains and applications to discretization2010.06728v3 · Feng Dai, Andriy Prymak2020 · 11 citationsTrans. Amer. Math. Soc., 375 no. 3 (2022), 1933-1976
Geometric computation of Christoffel functions on planar convex domains2003.12833v3 · A. Prymak2020 · 2 citationsJournal of Approximation Theory 268 (2021) 105603
Entropy numbers and Marcinkiewicz-type discretization theorem2001.10636v1 · F. Dai, A. Prymak, A. Shadrin et al.2020 · 14 citationsarXiv
Sampling discretization of integral norms2001.09320v1 · F. Dai, A. Prymak, A. Shadrin et al.2020 · 31 citationsarXiv
Polynomial approximation on C2C^2-domains1910.11719v1 · Feng Dai, Andriy Prymak2019 · 2 citationsarXiv
On the Hadwiger covering problem in low dimensions1811.08962v3 · A. Prymak, V. Shepelska2018 · 9 citationsJ. Geom. (2020) 111:42
Christoffel function on planar domains with piecewise smooth boundary1809.09205v2 · A. Prymak, O. Usoltseva2018 · 1 citationarXiv
Integral norm discretization and related problems1807.01353v3 · F. Dai, A. Prymak, V. N. Temlyakov et al.2018 · 53 citationsUspekhi Mat. Nauk 74:4 3-58 (Russian), English translation in Russian Math. Surveys vol. 74, no. 4 (2019), 579-630
Pointwise behavior of Christoffel function on planar convex domains1709.10509v1 · A. Prymak, O. Usoltseva2017 · 2 citationsarXiv
On Banach-Mazur distance between planar convex bodies1707.04830v4 · Serhii Brodiuk, Nazarii Palko, Andriy Prymak2017 · 1 citationAequat. Math. 92 (2018), 993-1000
Upper estimates of Christoffel function on convex domains1704.03025v2 · A. Prymak2017 · 6 citationsJournal of Mathematical Analysis and Applications 455 (2017) pp. 1984-2000
Yet another look at positive linear operators, qq-monotonicity and applications1602.07313v3 · K. Kopotun, D. Leviatan, A. Prymak et al.2016 · 1 citationJournal of Approximation Theory 210 (2016) 1-22
There is no strongly regular graph with parameters (460,153,32,60)1509.06286v2 · A. V. Bondarenko, A. Mellit, A. Prymak et al.2015 · 1 citationarXiv
Non-existence of (76,30,8,14) strongly regular graph1410.6748v3 · A. V. Bondarenko, A. Prymak, D. Radchenko2014 · 6 citationsLinear Algebra Appl. 527 (2017), 53-72
On Nikol'skii inequalities for domains in RdR^d1409.5397v2 · Z. Ditzian, A. Prymak2014 · 26 citationsConstr Approx (2016) 44:23-51
Convex polynomial approximation in RdR^d with Freud weights1408.2131v3 · Oleksandr Maizlish, Andriy Prymak2014 · 0 citationsarXiv
On concentrators and related approximation constants1404.2161v1 · A. V. Bondarenko, A. Prymak, D. Radchenko2014 · 5 citationsJ. Math. Anal. Appl. 402 (2013), no. 1, 234-241
Discrete dd-dimensional moduli of smoothness1404.0063v1 · Z. Ditzian, A. Prymak2014 · 0 citationsProc. Amer. Math. Soc., Vol. 142 (2014), no. 10, 3553-3559
Uniform and Pointwise Shape Preserving Approximation by Algebraic Polynomials1109.0968v1 · K. A. Kopotun, D. Leviatan, A. Prymak et al.2011 · 32 citationsSurveys in Approximation Theory, 6 (2011), 24-74
Convex Multivariate Approximation by Algebras of Continuous Functions1011.3478v1 · Andriy Bondarenko, Andriy Prymak2010 · 0 citationsAdvances in constructive approximation: Vanderbilt 2003, 123-131, Mod. Methods Math., Nashboro Press, Brentwood, TN, 2004
Career total: 62 works. 39 are in this corpus.

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