A Geometric Mean of Parameterized Arithmetic and Harmonic Means of Convex Functions
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-30
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The notion of the geometric mean of two positive reals is extended by Ando (1978) to the case of positive semidefinite matrices A and B.
Moreover, an interesting generalization of the geometric mean A # B of A and B to convex functions was introduced by Atteia and Raïssouli (2001) with a different viewpoint of convex analysis.
The present work aims at providing a further development of the geometric mean of convex functions due to Atteia and Raïssouli (2001).
A new algorithmic self-dual operator for convex functions named “the geometric mean of parameterized arithmetic and harmonic means of convex functions” is proposed, and its essential properties are investigated.
American Psychological Association (APA)
Kum, Sangho& Lim, Yongdo. 2012. A Geometric Mean of Parameterized Arithmetic and Harmonic Means of Convex Functions. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-502045
Modern Language Association (MLA)
Kum, Sangho& Lim, Yongdo. A Geometric Mean of Parameterized Arithmetic and Harmonic Means of Convex Functions. Abstract and Applied Analysis No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-502045
American Medical Association (AMA)
Kum, Sangho& Lim, Yongdo. A Geometric Mean of Parameterized Arithmetic and Harmonic Means of Convex Functions. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-502045
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502045