A generalization of a trace inequality for positive definite matrices

The Australian Journal of Mathematical Analysis and Applications (AJMAA)International audienceIn this note we generalize the trace inequality derived in E.V. Belmega, S. Lasaulce and M. Debbah, A Trace Inequality for Positive Definite Matrices, J. Inequal. Pure Appl. Math., 10(1) (2009), to the case where the number of terms of the sum (denoted by K) is arbitrary