References

GENERALIZATIONS OF JENSEN-MERCER'S INEQUALITY


[1] S. Abramovich, M. Klaričić Bakula, M. Matić and J. Pečarić, A variant of Jensen-Steffensen’s inequality and quasi-arithmetic means, Journal of Mathematical Analysis and Applications 307 (2005), 370-386.

[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.