Convex Functions and Their Applications: A Contemporary Approach (Hardcover, 3, Third 2025)

Convex Functions at a First Glance.- More on Convex Functions on Intervals.- Convex Sets in Real Linear Spaces.- Convex Functions on a Normed Linear Space.- Differentiable Convex Functions. 6. Convexity and Majorization.- Convexity in Spaces of Matrices.- Convexity in Spaces of Matrices.- Duality and Convex Optimization.- Special Topics in Majorization Theory. Appendices.- Generalized Convexity on Intervals.-? Background on Convex Sets.-? Elementary Symmetric Functions.-? Second Order Differentiability of Convex Functions.-? The Variational Approach of PDE.