Logarithmic Functional Mean in Convex Analysis

Abstract

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.

Cite this paper

@inproceedings{Rassouli2009LogarithmicFM, title={Logarithmic Functional Mean in Convex Analysis}, author={Mustapha Ra{\"{i}ssouli}, year={2009} }