Geodesic
A Generalization of Hermite-Hadamard's Inequality
Kragujevac Journal of Mathematics, Tome 41 (2017) no. 2, p. 313

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In literature the Hermite-Hadamard inequality was eligible for many reasons, one of the most surprising and interesting that the Hermite-Hadamard inequality combine the midpoint and trapezoid formulae in an inequality. In this work, a Hermite-Hadamard like inequality that combines the composite trapezoid and composite midpoint formulae is proved. So that, the classical Hermite-Hadamard inequality becomes a special case of the presented result. Some Ostrowski's type inequalities for convex functions are proved as well.
Classification : 26A51 26D15
Keywords: Hermite-Hadamard inequality, Ostrowski inequality, convex functions 
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     title = {A {Generalization} of {Hermite-Hadamard's} {Inequality}},
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Mohammad W. Alomari. A Generalization of Hermite-Hadamard's Inequality. Kragujevac Journal of Mathematics, Tome 41 (2017) no. 2, p. 313 . http://geodesic.mathdoc.fr/item/KJM_2017_41_2_a9/