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Matematicheskie Zametki, 2015, Volume 98, Issue 1, paper published in the English version journal
(Mi mzm10912)
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This article is cited in 2 scientific papers (total in 2 papers)
Papers published in the English version of the journal
Converses of Jessen's Inequality on Time Scales
J. Barića, M. Bohnerb, R. Jakšićc, J. Pečarićc
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
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