In this paper we examine local monotonicity properties of the so-called Gini means, defined byx a log x + y a log y x a + y a if a = b with respect to the parameters (a, b). As a consequence of our results, we obtain a new proof of the comparison theorem of two-variable Gini means.  2004 Elsevier Inc. All rights reserved.

We study the following Minkowski-type inequality (

In this paper we give a weighted version of the Hermite-Hadamard inequalityAn extension of that result, applied for convex-concave symmetric functions, will also be provided.