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  Volume 10, Issue 4, Article 102
Logarithmic Functional Mean In Convex Analysis

    Authors: Mustapha Ra´ssouli,  
    Keywords: Convex analysis, operator and functional means.  
    Date Received: 11/06/2008  
    Date Accepted: 29/04/2009  
    Subject Codes:

46A20, 52A41, 49-XX, 52-XX

    Editors: Peter S. Bullen,  

In this paper, we present various functional means in the sense of convex analysis. In particular, a logarithmic mean involving convex functionals, extending the scalar one, is introduced. In the quadratic case, our functional approach implies immediately that of positive operators. Some examples, illustrating theoretical results and showing the interest of our functional approach, are discussed.

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