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Advances in Inequalities and Applications ISSN 2050-7461

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Adv. Inequal. Appl. 2015 (2015), Article ID 8

Refinements of the classical Jensen’s inequality coming from refinements of the discrete Jensen’s inequality

Laszlo Horvath, Josip Pecaric

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Abstract

In this paper new refinements of classical Jensen’s inequality are obtained by using some refinements of discrete Jensen’s inequality. To apply our refinements, new quasi-arithmetic means are introduced, the properties of these means are studied, and refinements of the left hand side of the Hermite-Hadamard inequality are given.

Published
19 June 2015
Volume
2015 (2015)
License
CC BY 3.0

Copyright © 2015 Laszlo Horvath, Josip Pecaric. 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

L. Horvath, J. Pecaric, Refinements of the classical Jensen’s inequality coming from refinements of the discrete Jensen’s inequality, Adv. Inequal. Appl. 2015 (2015), 8.

BibTeX
@article{Horvath2015,
  author  = {Horvath, Laszlo and Pecaric, Josip},
  title   = {Refinements of the classical Jensen’s inequality coming from refinements of the discrete Jensen’s inequality},
  journal = {Adv. Inequal. Appl.},
  volume  = {2015},
  year    = {2015},
  pages   = {8},
  doi     = {}
}