Convex functions : constructions, characterizations and counterexamples /

This text explores the various classes and their characteristics, treating convex functions in both Euclidean and Banach spaces.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Borwein, Jonathan M.
Otros Autores: Vanderwerff, Jon D.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 2010.
Colección:Encyclopedia of mathematics and its applications ; v. 109.
Temas:
Convex functions.
Banach spaces.
Geometry, Non-Euclidean.
Fonctions convexes.
Espaces de Banach.
Géométrie non-euclidienne.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Banach spaces
Convex functions
Geometry, Non-Euclidean
Konvexe Funktion
Lehrbuch.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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