Convex structures induced by Chebyshev systems

DOI10.1016/j.indag.2017.08.003zbMath1379.52001OpenAlexW2751342852MaRDI QIDQ1677999

Bella Popovics, Mihály Bessenyei

Publication date: 14 November 2017

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2017.08.003

zbMATH Keywords

Hahn-Banach theoremChebyshev systemsseparation problemsCarathéodory theoremHelly theoremRadon theoremconvex structures

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convex sets in (2) dimensions (including convex curves) (52A10) Convexity of real functions in one variable, generalizations (26A51) Helly-type theorems and geometric transversal theory (52A35)

Related Items

Axiomatic and algebraic convexity of regular pairs

Cites Work

• Convexity without convex combinations
• A sandwich theorem and Hyers-Ulam stability of affine functions
• Convex separation by regular pairs
• Polynomial selections and separation by polynomials
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