Liudmyla Kryvonos

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20212026

most citedWeighted Minkowski's Existence Theorem and Projection Bodies

12 citations · 12 across the 6 of their papers we have counts for

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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^…

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 $C$