J. Barić, M. Bohner, R. Jakšić, J. Pečarić, “Converses of Jessen's Inequality on Time Scales”, Mat. Zametki, 2015, Volume 98, Issue 1,Pages <nobr>11

This article is cited in 2 papers

Papers published in the English version of the journal

Converses of Jessen's Inequality on Time Scales

J. Barić^a, M. Bohner^b, R. Jakšić^c, J. Pečarić^c

^a Faculty of Electrical Engineering, Mechanical Engineering, and Naval Architecture, University of Split, Split, Croatia
^b Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, USA
^c Faculty of Textile Technology, University of Zagreb, Zagreb, Croatia

Abstract: In this paper, some converses of Jessen's inequality, in terms of the time scale calculus, are proved. The obtained results are used to derive new converse inequalities for generalized means, power means and Hölder's inequality.

Keywords: time scale, linear functional, Jessen's inequality, converses, means, Hölder's inequality.

Received: 03.10.2013
Revised: 16.04.2015

Language: English