TY - BOOK AU - Borwein,Jonathan M. AU - Vanderwerff,Jon D. TI - Convex functions: constructions, characterizations and counterexamples T2 - Encyclopedia of mathematics and its applications SN - 9781139811798 AV - QA331.5 .B655 2010eb U1 - 515.8 22 PY - 2010/// CY - Cambridge, UK, New York PB - Cambridge University Press KW - Convex functions KW - Banach spaces KW - Geometry, Non-Euclidean KW - Fonctions convexes KW - Espaces de Banach KW - Géométrie non-euclidienne KW - MATHEMATICS KW - Calculus KW - bisacsh KW - Mathematical Analysis KW - fast KW - Konvexe Funktion KW - gnd KW - Electronic books KW - Lehrbuch N1 - Includes bibliographical references (pages 485-507) and index; Why convex? -- Convex functions on Euclidean spaces -- Finer structure of Euclidean spaces -- Convex functions on Banach spaces -- Duality between smoothness and strict convexity -- Further analytic topics -- Barriers and Legendre functions -- Convex functions and classifications of Banach spaces -- Monotone operators and the Fitzpatrick function -- Further remarks and notes N2 - This text explores the various classes and their characteristics, treating convex functions in both Euclidean and Banach spaces UR - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=502393 ER -