Thorough introduction to an important area of mathematics Contains recent results Includes many exercises
Convex Functions and their Applications: A Contemporary Approach
Table of contents
Convex Functions on Intervals Comparative Convexity on Intervals Convex Functions on Banach Spaces Choquet's Theory A Background on Convex Sets B Elementary Symmetric Functions C The Convex Programming Problem D The Variational Approach of PDE E Horn's Conjecture