Geometric Means, Index Mappings and Entropy

Comanescu, D, Dragomir, Sever S and Pearce, Charles (2002) Geometric Means, Index Mappings and Entropy. RGMIA research report collection, 5 (1).


We define a number of natural maps associated with weighted geometric means and investigate their properties. Several functional inequalities are derived. Interpolations are established for some of these. Applications to the entropy map are given.

Item type Article
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords geometric means, interpolation, entropy
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