1. Abramovich S., Barić J., Pečarić J., Fejer and Hermite–Hadamard type inequalities for superquadratic functions, J. Math. Anal. Appl. 344 (2008), no. 2, 1048–1056.
2. Barnett N.S., Cerone P., Dragomir S.S., Some new inequalities for Hermite–Hadamard divergence in information theory, Stochastic analysis and applications Vol. 3, 7–19, Nova Sci. Publ., Hauppauge, New York, 2003.
3. Bessenyei M., Hermite–Hadamard-type inequalities for generalized convex functions, J. Inequal. Pure Appl. Math. 9 (2008), no. 3, Art. 63, 51 pp.
4. Bhatia R., The logarithmic mean, Resonance 13 (2008), no. 6, 583–594.
5. Carlson B.C., The logarithmic mean, Amer. Math. Monthly 79 (1972), no. 6, 615–618.
6. Cerone P., Dragomir S.S., Mathematical inequalities. A perspective, CRC Press, Boca Raton, 2011.
7. Conde C., A version of the Hermite–Hadamard inequality in a nonpositive curvature space, Banach J. Math. Anal. 6 (2012), no. 2, 159–167.
8. Dragomir S.S., Bounds for the normalised Jensen functional, Bull. Austral. Math. Soc. 74 (2006), no. 3, 471–478.
9. Dragomir S.S., Hermite–Hadamard’s type inequalities for operator convex functions, Appl. Math. Comput. 218 (2011), no. 3, 766–772.
10. Dragomir S.S., Pearce C.E.M., Selected Topics on Hermite–Hadamard Inequalities, RGMIA Monographs, Victoria University, 2000. Available at http://rgmia.vu.edu.au/monographs/hermite_hadamard.html
11. El Farissi A., Simple proof and refinement of Hermite–Hadamard inequality. J. Math. Inequal. 4 (2010), no. 3, 365–369.
12. Hadamard J., Étude sur les propriétés des fonctions entieres et en particulier d’une fonction considérée par Riemann (French), J. Math. Pures et Appl. 58 (1893), 171–215.
13. Házy A., Páles Z., On a certain stability of the Hermite–Hadamard inequality, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 465 (2009), no. 2102, 571–583.
14. Jost J., Nonpositive curvature: geometric and analytic aspects, Lectures in Mathematics ETH Zürich, Birkhäuser Verlag, Basel, 1997.
15. Kikianty E., Hermite–Hadamard inequality in the geometry of Banach spaces, PhD thesis, Victoria University, 2010. Available at eprints.vu.edu.au/15793/1/EderKikiantyThesis.pdf.
16. Klaričić M., Neuman E., Pečarić J., Šimić V., Hermite–Hadamard’s inequalities for multivariate g-convex functions, Math. Inequal. Appl. 8 (2005), no. 2, 305–316.
17. Lang S., Fundamentals of differential geometry, Graduate Texts in Mathematics, Springer-Verlag, New York, 1999.
18. Leach E.B., Sholander M.C., Extended mean values. II, J. Math. Anal. Appl. 92 (1983), no. 1, 207–223.
19. Mihăilescu M., Niculescu C.P., An extension of the Hermite–Hadamard inequality through subharmonic functions, Glasg. Math. J. 49 (2007), no. 3, 509–514.
20. Mitroi F.-C., About the precision in Jensen-Steffensen inequality, An. Univ. Craiova Ser. Mat. Inform. 37 (2010), no. 4, 73–84.
21. Niculescu C.P., Persson L.-E., Convex functions and their applications. A contemporary approach, Springer, New York, 2006.
22. Wu S., On the weighted generalization of the Hermite–Hadamard inequality and its applications, Rocky Mountain J. Math. 39 (2009), no. 5, 1741–1749.
23. Zabandan G., A new refinement of the Hermite–Hadamard inequality for convex functions, J. Inequal. Pure Appl. Math. 10 (2009), no. 2, Art. 45, 7 pp.
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