Generalisations of Steffensen's inequality via Fink identity and related results

Josip Pecaric, Anamarija Perusic, Ana Vukelic

Abstract


Starting from the result given in [1] where the authors gave the extension of weighted Montgomery identity using Fink identity from [5], we give the generalizations of Steffensen inequality. Also, we investigate the exponential convexity of differences of the left-hand and right-hand side of these inequalities. Using these differences, we produce new exponentially convex functions. They are used in studying Stolarsky type means.

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Published: 2013-10-16

How to Cite this Article:

Josip Pecaric, Anamarija Perusic, Ana Vukelic, Generalisations of Steffensen's inequality via Fink identity and related results, Advances in Inequalities and Applications, Vol 2014 (2014), Article ID 9

Copyright © 2014 Josip Pecaric, Anamarija Perusic, Ana Vukelic. 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.

Advances in Inequalities and Applications

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