Generalizations of the functional form of Jensen’s inequality

Zlatko Pavić


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.

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Published: 2014-08-18

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

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.

Advances in Inequalities and Applications

ISSN 2050-7461

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