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Advances in Inequalities and Applications ISSN 2050-7461

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Adv. Inequal. Appl. 2014 (2014), Article ID 22

Inequalities including functional affine combinations

Zlatko Pavić

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Abstract

In this paper, we combine discrete and functional forms of Jensen’s inequality for convex functions of several variables. We apply convex and affine combinations to inequalities. Using this approach, we consider the functional form of Jensen’s inequality for affine combination of mappings. We also offer simple generalizations of the known results.

Published
10 April 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, Inequalities including functional affine combinations, Adv. Inequal. Appl. 2014 (2014), 22.

BibTeX
@article{Pavić2014,
  author  = {Pavić, Zlatko},
  title   = {Inequalities including functional affine combinations},
  journal = {Adv. Inequal. Appl.},
  volume  = {2014},
  year    = {2014},
  pages   = {22},
  doi     = {}
}