TY - GEN AU - Borwein, Jonathan M. AU - Vanderwerff, Jon D. TI - Convex functions: constructions, characterizations and counterexamples, Vol. 109 SN - 9780521850056 U1 - 515.8 BOR PY - 2010/// CY - Cambridge PB - Cambridge University Press KW - Mathematics KW - Calculus KW - Mathematical Analysis KW - Convex Functions KW - Banach Spaces KW - Non-Euclidean Geometry N2 - Like differentiability, convexity is a natural and powerful property of functions that plays a significant role in many areas of mathematics, both pure and applied. It ties together notions from topology, algebra, geometry and analysis, and is an important tool in optimization, mathematical programming and game theory. This book, which is the product of a collaboration of over 15 years, is unique in that it focuses on convex functions themselves, rather than on convex analysis. The authors explore the various classes and their characteristics and applications, treating convex functions in both Euclidean and Banach spaces ER -