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Volume 5, Issue 1 (2015), Pages [1] - [67]
INEQUALITIES ON THE LINE SEGMENT
[1] A. El Farissi, Simple proof and refinement of Hermite-Hadamard inequality, Journal of Mathematical Inequalities 4 (2010), 365-369.
[2] J. Hadamard, Étude sur les propriétés des fonctions entières et en particulier d’une function considerée par Riemann, Journal de Mathematiques Pures et Appliquées 58 (1893), 171-215.
[3] Ch. Hermite, Sur deux limites d’une intégrale définie, Mathesis 3 (1883), 82.
[4] J. L. W. V. Jensen,
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[6] S. L. Lyu, On the Hermite-Hadamard inequality for convex functions of two variables, Numerical Algebra, Control and Optimization 4 (2014), 1-8.
[7] A. McD. Mercer, A variant of Jensen's inequality, Journal of Inequalities in Pure and Applied Mathematics 4 (2003), Article 73.
[8] C. P. Niculescu and L. E. Persson, Convex Functions and their Applications, Canadian Mathematical Society, Springer,
[9] Z. Pavić, Generalizations of Jensen-Mercer’s inequality, Journal of Pure and Applied Mathematics: Advances and Applications 11 (2014), 19-36.
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[11] J. E. Pečarić, A simple proof of the Jensen-Steffensen inequality, American Mathematical Monthly 91 (1984), 195-196.
[12] J. Wang, X. Li, M. Fečkan and Y. Zhou, Hermite-Hadamard-type inequalities for Riemann-Liouville fractional integrals via two kinds of convexity, Applicable Analysis 92 (2013), 2241-2253.