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
Keywords: Hermite-Hadamard's inequality, Riemann-Liouville fractional integration, convex functions, power-mean inequality
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/
@article{KJM_2018_42_1_a1,
author = {Shahid Qaisar and Muhammad Iqbal and Sabir Hussain and Saad I. Butt and Muhammad A. Meraj},
title = {New {Inequalities} on {Hermite-Hadamard} {Utilizing} {Fractional} {Integrals}},
journal = {Kragujevac Journal of Mathematics},
pages = {15 },
year = {2018},
volume = {42},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2018_42_1_a1/}
}
TY - JOUR AU - Shahid Qaisar AU - Muhammad Iqbal AU - Sabir Hussain AU - Saad I. Butt AU - Muhammad A. Meraj TI - New Inequalities on Hermite-Hadamard Utilizing Fractional Integrals JO - Kragujevac Journal of Mathematics PY - 2018 SP - 15 VL - 42 IS - 1 UR - http://geodesic.mathdoc.fr/item/KJM_2018_42_1_a1/ LA - en ID - KJM_2018_42_1_a1 ER -
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