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Advances in Inequalities and Applications ISSN 2050-7461

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Adv. Inequal. Appl. 2014 (2014), Article ID 33

Generalizations of the functional form of Jensen’s inequality

Zlatko Pavić

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Abstract

The paper deals with the functional forms of Jensen’s inequality for continuous convex functions of one variable. Some generalizations are stated by using positive linear functionals on the linear space of real functions. Obtained results are further applied to functional quasi-arithmetic means.

Published
18 August 2014
Volume
2014 (2014)
License
CC BY 3.0

Copyright © 2014 Zlatko Pavić. 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

Z. Pavić, Generalizations of the functional form of Jensen’s inequality, Adv. Inequal. Appl. 2014 (2014), 33.

BibTeX
@article{Pavić2014,
  author  = {Pavić, Zlatko},
  title   = {Generalizations of the functional form of Jensen’s inequality},
  journal = {Adv. Inequal. Appl.},
  volume  = {2014},
  year    = {2014},
  pages   = {33},
  doi     = {}
}