Faculty of Textile Technology, University of Zagreb, Pierottijeva 6,
10000 Zagreb, Croatia
Faculty of Food Technology and Biotechnology, University of Zagreb,
Pierottijeva 6, 10000 Zagreb, Croatia
Department of Mathematics, University of Zagreb, Bijenicka 30,
10000 Zagreb, Croatia
Abstract. In this paper we give some generalizations of an inequality which has been proved by Hardy, Littlewood and Polya. As a consequence of these results we obtain some inequalities for entropies of discrete probability distributions.
1991 Mathematics Subject Classification. 26D15, 94A17, 28D20.
Key words and phrases. Inequalities for finite sums and infinite series, entropy of discrete probability distribution, convex function.