Axiomatic and algebraic convexity of regular pairs

DOI10.1007/s00022-018-0429-zzbMath1402.52001OpenAlexW2795311711MaRDI QIDQ1754412

Mihály Bessenyei

Publication date: 30 May 2018

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-018-0429-z

zbMATH Keywords

Chebyshev systemconvex structureplanar convexity

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Best approximation, Chebyshev systems (41A50) 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)

Cites Work

• Convexity without convex combinations
• A sandwich theorem and Hyers-Ulam stability of affine functions
• Convex structures induced by Chebyshev systems
• Convex separation by regular pairs
• Hadamard-type inequalities for generalized convex functions
• Generalized convex functions
• Convex functions and their applications. A contemporary approach
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