On the Linear Structures Induced by the Four Order Isomorphisms Acting on ${\rm{Cvx}}_0({\mathbb R}^n)$

zbMath1491.26010arXiv1910.10268MaRDI QIDQ5026397

Dan I. Florentin, Alexander Segal

Publication date: 8 February 2022

Full work available at URL: https://arxiv.org/abs/1910.10268

zbMATH Keywords

interpolationconvexitydualityLegendre transformorder isomorphisms\(\mathcal{A}\)-transform\(\mathcal{J}\)-transform

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Inequalities and extremum problems involving convexity in convex geometry (52A40) Duality theory (optimization) (49N15) Convexity of real functions of several variables, generalizations (26B25) Asymptotic theory of convex bodies (52A23) Asymptotic theory of Banach spaces (46B06)

Cites Work

• Hidden structures in the class of convex functions and a new duality transform
• Functional Brunn-Minkowski inequalities induced by polarity
• Polar Means of Convex Bodies and a Dual to the Brunn-Minkowski Theorem
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