This appendix introduces basic definitions, graphic insights, and useful properties related to convex sets and convex and concave functions, used throughout the book in the characterization of convex ...

Notes for Foundations in Data Analysis course @ TUM, summer 2022. Obsidian Markdown. - FDA-Notes/5.2 Convexity - Convex Functions.md at main · Vuenc/FDA-Notes ...

Technical Terms Convex Geometry: The study of convex sets and functions, focusing on properties and structural aspects that are pivotal in optimisation and computational mathematics.

Gerald Beer, Conjugate Convex Functions and the Epi-Distance Topology, Proceedings of the American Mathematical Society, Vol. 108, No. 1 (Jan., 1990), pp. 117-126 ...

We call these Graphs of Convex Sets (GCS). Many classical problems in graph theory are naturally generalized to GCS, yielding a new class of problems at the interface of combinatorial and convex ...

D. J. Hallenbeck, Convex Hulls and Extreme Points of Some Families of Univalent Functions, Transactions of the American Mathematical Society, Vol. 192 (May, 1974), pp. 285-292 ...