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2018, vol. 42, br. 1, str. 15-27
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New inequalities on Hermite-Hadamard utilizing fractional integrals
(naslov ne postoji na srpskom)
aDepartment of Mathematics, Comsats Institute of Information Technology, Sahiwal, Pakistan bDepartment of Mathematics, University of Engineering and Technology, Lahore, Pakistan + Department of Mathematics, Govt. Islamia College Civil Line, Lahore, Pakistan cDepartment of Mathematics, College of Science, Qassim University, Buraydah, Saudi Arabia dDepartment of Mathematics, Comsats Institute of Information Technology, Lahore, Pakistan
e-adresa: shahidqaisar90@ciitsahiwal.edu.pk, iqbaluet68@yahoo.com, sabiriub@yahoo.com, saadihsanbutt@gmail.com
Projekat: Project by Higher Education Commission of Pakistan No. 21-52/SRGP/R&D/HEC/2014
Ključne reči: Hermite-Hadamard's inequality; Riemann-Liouville fractional integration; convex functions; power-mean inequality
Sažetak
(ne postoji na srpskom)
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].
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Sarikaya, M.Z., Aktan, N. (2011) On the generalization of some integral inequalities and their applications. Mathematical and Computer Modelling, 54(9-10): 2175-2182
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