References

CONVEX SETS AND QUANTITIES


[1] T. Needham, A visual explanation of Jensen’s inequality, American Mathematical Monthly 100 (1993), 768-771.

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

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

[4] Z. Pavić, Inequalities using convex combination centers and set barycenters, Journal of Mathematical Sciences: Advances and Applications 24 (2013), 29-46.

[5] R. T. Rockafellar, Convex Analysis, Princeton University Press, New Jersey, USA, 1972.