References

Journal of Pure and Applied Mathematics: Advances and Applications

GENERALIZATIONS OF JENSEN-MERCER'S INEQUALITY

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[2] A. W. Marshall and I. Olkin, Inequalities: Theory of Majorization and its Applications, Academic Press, New York, USA, 1979.

[3] A. McD. Mercer, A variant of Jensen’s inequality, Journal of Inequalities in Pure and Applied Mathematics (Article 73) 4(4) (2003).

[4] J. Mićić, Z. Pavić and J. Pečarić, The inequalities for quasiarithmetic means, Abstract and Applied Analysis (Article ID 203145) 2012 (2012), 25.

[5] C. P. Niculescu and L. E. Persson, Convex Functions and their Applications, Canadian Mathematical Society, Springer, New York, USA, 2006.

[6] M. Niezgoda, A generalization of Mercer’s result on convex functions, Nonlinear Analysis: Theory, Methods & Applications 71 (2009), 2771-2779.

[7] Z. Pavić, Convex combinations, barycenters and convex functions, Journal of Inequalities and Applications (Article 61) 2013 (2013), 13.