References

Journal of Algebra, Number Theory: Advances and Applications

CONVEX FUNCTIONS AND POSITIVE LINEAR FUNCTIONALS

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

[3] B. Jessen, Bemærkninger om konvekse Funktioner og Uligheder imellem Middelværdier, I, Matematik Tidsskrift B 2 (1931), 17-28.

[4] A. McD. Mercer, A variant of Jensen’s inequality, Journal of Inequalities in Pure and Applied Mathematics 4 (2003), 2 pages, Article 73.

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

[6] Z. Pavić, The applications of functional variants of Jensen’s inequality, Journal of Function Spaces and Applications, Vol. 2013, Article ID 194830, 5 pages, 2013.

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

[8] I. Raşa, A note on Jensen’s inequality, Itinerant Seminar on Functional Equations, Approximation and Convexity, Universitatea Babes-Bolyai, Cluj-Napoca, Romania, (1988), 275-280.