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Advances in Inequalities and Applications ISSN 2050-7461

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Adv. Inequal. Appl. 2014 (2014), Article ID 9

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

Josip Pecaric, Anamarija Perusic, Ana Vukelic

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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.

Published
16 October 2013
Volume
2014 (2014)
License
CC BY 3.0

Copyright © 2013 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.

Cite this article

J. Pecaric, A. Perusic, A. Vukelic, Generalisations of Steffensen's inequality via Fink identity and related results, Adv. Inequal. Appl. 2014 (2014), 9.

BibTeX
@article{Pecaric2014,
  author  = {Pecaric, Josip and Perusic, Anamarija and Vukelic, Ana},
  title   = {Generalisations of Steffensen's inequality via Fink identity and related results},
  journal = {Adv. Inequal. Appl.},
  volume  = {2014},
  year    = {2014},
  pages   = {9},
  doi     = {}
}