Journal of Convex Analysis 10 (2003), No. 1, 199--210
Copyright Heldermann Verlag 2003
Stability of Geometric and Harmonic Functional Means
Aouatef El Biari
École Mohammadia d'Ingénieurs, LERMA, Avenue Ibn Sinae, BP 765, Agdal-Rabat, Marocco
École Mohammadia d'Ingénieurs, LERMA, Avenue Ibn Sinae, BP 765, Agdal-Rabat, Marocco, firstname.lastname@example.org
Université Moulay Ismail, Faculté des Sciences, Dép. de Mathématiques et Informatiques, UFR AFACS -- Groupe AFA, BP 4010 Zitoune, 50000 Meknes, Marocco, email@example.com
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.
Keywords: Convex functional, Fenchel duality, arithmetic, geometric and harmonic functional means, stability of operation means.
MSC 2000: 52A51, 46A20.
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