Abstract

Geometric and harmonic means of two convex functionals have been recently constructed. The aim of this work is to study the stability of these operations. The development of this theory is very useful in many contexts. The obtained results generalize the case of symmetric positive operators which have been studied in the literature.

Author information

Contact details are reproduced from the original publication and may be historical.

Aouatef El Biari

École Mohammadia d'Ingénieurs, LERMA, Avenue Ibn Sinae, BP 765, Agdal-Rabat, Marocco

Rachid Ellaia

École Mohammadia d'Ingénieurs, LERMA, Avenue Ibn Sinae, BP 765, Agdal-Rabat, Marocco

ellaia@emi.ac.ma

Mustapha Raïssouli

Université Moulay Ismail, Faculté des Sciences, Dép. de Mathématiques et Informatiques,
UFR AFACS -- Groupe AFA, BP 4010 Zitoune, 50000 Meknes, Marocco

raissoul@fsmek.ac.ma

Keywords

  • Convex functional
  • Fenchel duality
  • arithmetic
  • geometric and harmonic functional means
  • stability of operation means

Mathematics Subject Classification

52A51, 46A20

Suggested citation

A. El Biari, R. Ellaia, M. Raissouli. “Stability of Geometric and Harmonic Functional Means.” Journal of Convex Analysis 10 (2003), No. 1, 199–210.

Copyright Heldermann Verlag 2003