References

INEQUALITIES USING CONVEX COMBINATION CENTERS AND SET BARYCENTERS


[1] P. S. Bullen, D. S. Mitrinović and P. M. Vasić, Means and their Inequalities, Reidel, Dordrecht, NL, 1988.

[2] V. Cirtoaje and A. Baiesu, An extension of Jensen’s discrete inequality to half convex functions, Journal of Inequalities and Applications 2011 (2011), 13; Article 101.

[3] J. L. W. V. Jensen, Om konvekse Funktioner og Uligheder mellem Middelværdier, Nyt Tidsskrift for Matematik. B. 16 (1905), 49-68.

[4] J. L. W. V. Jensen, Sur les fonctions convexes et les inégalités entre les valeurs moyennes, Acta Mathematica 30 (1906), 175-193.

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

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

[7] Z. Pavić, J. E. Pečarić and I. Perić, Integral, discrete and functional variants of Jensen’s inequality, Journal of Mathematical Inequalities 5(2) (2011), 253-264.

[8] J. E. Pečarić, F. Proschan and Y. L. Tong, Convex Functions, Partial Orderings, and Statistical Applications, Academic Press, New York, USA, 1992.

[9] W. Rudin, Real and Complex Analysis, McGraw-Hill, New York, USA, 1987.