Polynomial selections and separation by polynomials

DOI10.4064/sm-120-1-75-82zbMath0887.26007arXiv0807.4061OpenAlexW2963132498MaRDI QIDQ4890743

Szymon Wąsowicz

Publication date: 23 October 1996

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.4061

zbMATH Keywords

set-valued functionsLagrange interpolation polynomialselectionsHelly's theorem\(n\)-convex functionaffine functions\(n\)-concave functionseparation by polynomials

Mathematics Subject Classification ID

Set-valued functions (26E25) Selections in general topology (54C65) Convexity of real functions in one variable, generalizations (26A51) Helly-type theorems and geometric transversal theory (52A35) Systems of functional equations and inequalities (39B72) Inequalities involving other types of functions (26D07)

Related Items (6)

Convexity without convex combinations ⋮ Convex structures induced by Chebyshev systems ⋮ Separation by Jensen and affine stochastic processes ⋮ Convex separation by regular pairs ⋮ On a separation for the Cauchy equation on spheres ⋮ Strong \(h\)-convexity and separation theorems

This page was built for publication: Polynomial selections and separation by polynomials