Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 461215, 9 pages
doi:10.1155/2010/461215
Research Article

A Converse of Minkowski's Type Inequalities

Romeo Meštrović1 and David Kalaj2

1Maritime Faculty, University of Montenegro, Dobrota 36, 85330 Kotor, Montenegro
2Faculty of Natural Sciences and Mathematics, University of Montenegro, Džordža Vašingtona BB, 81000 Podgorica, Montenegro

Received 6 August 2010; Accepted 20 October 2010

Academic Editor: Jong Kim

Copyright © 2010 Romeo Meštrović and David Kalaj. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We formulate and prove a converse for a generalization of the classical Minkowski's inequality. The case when 0 < 𝑝 < 1 is also considered. Applying the same technique, we obtain an analog converse theorem for integral Minkowski's type inequality.