Author

Fozi M. Dannan, Patrizio Neff, Christian Thiel

Published in

Journal of mathematical inequalities, volume 10, Number 1 (2016)

Abstract

We consider the sum of squared logarithms inequality and investigate possible connections with the theory of majorization. We also discuss alternative sufficient conditions on two sets of vectors a,b ∈ Rn + so that n X i=1 (log ai)2 ≤ n X i=1 (log bi)2 . Generalizations of some inequalities from information theory are obtained, including a generalized information inequality and a generalized log sum inequality, which states for a,b ∈ Rn + and k1,. ..,kn ∈ [0, ∞):

Key Words: sum of squared logarithms inequality; exponential functions inequalities; log sum inequality; Gibbs’ inequality; information inequality

Link to read full paper

http://files.ele-math.com/articles/jmi-10-01.pdf