We extend Dudley's characterization of convex functions to the framework of h-convex distributions on stratied groups. Precisely, we prove that every distribution with nonnegative horizontal Hessian is defined by an h-convex function.

H-convex distributions in stratified groups

MAGNANI, VALENTINO;
2013

Abstract

We extend Dudley's characterization of convex functions to the framework of h-convex distributions on stratied groups. Precisely, we prove that every distribution with nonnegative horizontal Hessian is defined by an h-convex function.
Andrea, Bonfiglioli; Ermanno, Lanconelli; Magnani, Valentino; Matteo, Scienza
File in questo prodotto:
File Dimensione Formato  
PAMS-BLMS.pdf

accesso aperto

Descrizione: Articolo principale
Tipologia: Documento in Post-print
Licenza: Creative commons
Dimensione 259 kB
Formato Adobe PDF
259 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/159310
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 2
social impact