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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2 papers · 1 filter

math.CA2023

Whitney-type estimates for convex functions

Jaskaran Singh Kaire, Andriy Prymak

We study Whitney-type estimates for approximation of convex functions in the uniform norm on various convex multivariate domains while paying a particular attention to the dependen…

math.MG2023

Convex bodies of constant width with exponential illumination number

Andrii Arman, Andriy Bondarenko, Andriy Prymak

We show that there exist convex bodies of constant width in $E^{n}$ with illumination number at least $(cos (π /14) + o (1))^{- n}$ , answering a question by G. Kalai. Furthermore…