2 citations · 3 across the 5 of their papers we have counts for
5 papers
Chebyshev admissible meshes and Lebesgue constants of complex polynomial projections
Leokadia Bialas-Ciez, Dimitri Jordan Kenne, Alvise Sommariva +1
We construct admissible polynomial meshes on piecewise polynomial or trigonometric curves of the complex plane, by mapping univariate Chebyshev points. Such meshes can be used for…
Łojasiewicz exponent and pluricomplex Green function on algebraic sets
Leokadia Bialas-Ciez, Maciej Klimek
We study pluricomplex Green functions on algebraic sets. Let be a proper holomorphic mapping between two algebraic sets. Given a compact set in the range of , we show ho…
On Lagrange polynomials and the rate of approximation of planar sets by polynomial Julia sets
Leokadia Bialas-Ciez, Marta Kosek, Malgorzata Stawiska
We revisit the approximation of nonempty compact planar sets by filled-in Julia sets of polynomials developed by Lindsey and Younsi and analyze the rate of approximation. We use sl…
Jackson's inequality in the complex plane and the Lojasiewicz-Siciak inequality of Green's function
Leokadia Bialas-Ciez, Raimondo Eggink
We prove a generalization of Dunham Jackson's famous approximation inequality to the case of compact sets in the complex plane admitting both upper and lower bounds for their Green…
Hölder continuity of pluricomplex Green function and Markov brothers' inequality
Miroslaw Baran, Leokadia Bialas-Ciez
Let V_E be the pluricomplex Green function associated to a compact subset E of C^N. The well known Hölder Continuity Property of E means that there exist constants B > 0, 0< c =< 1…