Geodesic
New Inequalities on Hermite-Hadamard Utilizing Fractional Integrals
Kragujevac Journal of Mathematics, Tome 42 (2018) no. 1, p. 15 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In the present article, firstly authors have established an integral identity for Riemann-Liouville fractional integrals. Secondly, some Hermite-Hadamard type integral inequalities utilizing this integral identity are obtained and presented results have some closely connection with [M. Z. Sarikaya, N. Aktan, On the generalization of some integral inequalities and their applications, Mathematical and Computer Modeling {54}(9) (2011), 2175--2182].
Classification : 26D07, 26D10 26A15, 26A51
Keywords: Hermite-Hadamard's inequality, Riemann-Liouville fractional integration, convex functions, power-mean inequality 
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Shahid Qaisar; Muhammad Iqbal; Sabir Hussain; Saad I. Butt; Muhammad A. Meraj. New Inequalities on Hermite-Hadamard Utilizing Fractional Integrals. Kragujevac Journal of Mathematics, Tome 42 (2018) no. 1, p. 15 . http://geodesic.mathdoc.fr/item/KJM_2018_42_1_a1/