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math.MG2018
UPC condition with parameter for subanalytic sets
Anna Denkowska, Maciej P. Denkowski
In 1986 Pawłucki and Pleśniak introduced the notion of {\sl uniformly polynomially cuspidal} (UPC) sets and proved that every relatively compact and fat subanalytic subset of ${\Rz…
math.OC2018
Linear programming on non-compact polytopes and the Kuratowski convergence with application in economics
Anna Denkowska, Maciej Denkowski, Marta Kornafel
The aims of this article are two-fold. First, we give a geometric characterization of the optimal basic solutions of the general linear programming problem (no compactness assumpti…
math.CV2018
The Bernstein-Walsh-Siciak Theorem for analytic hypersurfaces
Anna Denkowska, Maciej P. Denkowski
As a first step towards a general set-theoretic counterpart of the remarkable Bernstein-Walsh-Siciak Theorem concerning the rapidity of polynomial approximation of a holomorphic fu…