Geodesic
New Weighted Integral Inequalities for Twice Differentiable Convex Functions
Kragujevac Journal of Mathematics, Tome 40 (2016) no. 1, p. 15 .

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In this paper, we establish several new weighted inequalities for some twice differentiable mappings that are connected with the celebrated Hermite-Hadamard type and Ostrowski type integral inequalities. Some of the new inequalities are Hermite-Hadamard-type inequalities involving fractional integrals. The results presented here would provide extensions of those given in earlier works.
Classification : 26D07 26D15
Keywords: Hermite-Hadamard inequality, Ostrowski inequality, Trapezoid inequality, convex function, Hölder inequality, Rieman-Liouville integrals 
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M. Z. Sarikaya; S. Erden. New Weighted Integral Inequalities for Twice Differentiable Convex Functions. Kragujevac Journal of Mathematics, Tome 40 (2016) no. 1, p. 15 . http://geodesic.mathdoc.fr/item/KJM_2016_40_1_a1/