@Article{Barnett2001, author="N. S. Barnett, P. Cerone, S. S. Dragomir, J. Roumeliotis", title="Some inequalities for the dispersion of a random variable whose pdf is defined on a finite interval", journal="J. Inequal. Pure Appl. Math.", year="2001", pages="18 pages", volume="2" } @Article{Barnett2002, author="N. S. Barnett, S. S. Dragomir", title="Some elementary inequalities for the expectation and variance of a random variable whose pdf is defined on a finite interval", journal="Nova Sci. Publ.", year="2002", pages="31--38", volume="2" } @Article{Budak, author="H. Budak, F. Ertugral, M. Z. Sarikaya", title="New generalization of Hermite-Hadamard type inequalities via generalized fractional integrals", journal="", year="", pages="", volume="" } @Article{Cerone2001, author="P. Cerone, S. S. Dragomir", title="On some inequalities for the expectation and variance", journal="Korean J. Comput. Appl. Math.", year="2001", pages="357--380", volume="8" } @Article{Dragomir2018, author="S. S. Dragomir", title="Inequalities of Jensen's type for generalized $k$-$g$-Fractional integrals of functions for which the composite $f\circ g^{-1}$ is convex", journal="Fract. Differ. Calc.", year="2018", pages="127--150", volume="8" } @Article{Farid2019, author="G. Farid", title="Existence of an integral operator and its consequences in fractional calculus", journal="Open J. Math. Sci.", year="2019", pages="210--216", volume="3" } @Article{Farid2020, author="G. Farid, M. Raees, M. Anwar", title="Bounds associated to Hadamard inequality via generalized integral operators and applications for conformable and fractional integrals", journal="J. Fract. Calc. Appl.", year="2020", pages="238--251", volume="11" } @Article{Fernandez2020, author="A. Fernandez, P. O. Mohammed", title="Hermite-Hadamard inequalities in fractional calculus defined using Mittag-Leffler kernels", journal="Math. Methods Appl. Sci.", year="2020", pages="18 pages", volume="2020" } @Article{Kang2018, author="S. M. Kang, G. Farid, W. Nazeer, B. Tariq", title="Hadamard and Fejer–Hadamard inequalities for extended generalized fractional integrals involving special functions", journal="J. Inequal. Appl.", year="2018", pages="11 pages", volume="2018" } @Book{Kilbas2006, author="A. A. Kilbas, H. M. Srivastava, J. J. Trujillo", title="Theory and applications of fractional differential equations", year="2006", publisher="Elsevier Science B.V.", address="Amsterdam" } @Article{Kumar2002, author="P. Kumar", title="Moments inequalities of a random variable defined over a finite interval", journal="JIPAM. J. Inequal. Pure Appl. Math.", year="2002", pages="11 pages", volume="3" } @Article{Kumar2004, author="P. Kumar", title="Inequalities involving moments of a continuous random variable defined over a finite interval", journal="Comput. Math. Appl.", year="2004", pages="257--273", volume="48" } @Article{Kwun2018, author="Y. C. Kwun, G. Farid, W, Nazeer, S. Ullah, S. M. Kang", title="Generalized Riemann-Liouville $k$-fractional integrals associated with Ostrowski type inequalities and error bounds of Hadamard Inequalities", journal="IEEE Access", year="2018", pages="64946--64953", volume="6" } @Article{Mohammed2019, author="P. O. Mohammed", title="Hermite-Hadamard inequalities for Riemann-Liouville fractional integrals of a convex function with respect to a monotone function", journal="Math. Meth. Appl. Sci.", year="2019", pages="11 pages", volume="2019" } @Article{Mohammed2020, author="P. O. Mohammed, T. Abdeljawad", title="Modification of certain fractional integral inequalities for convex functions", journal="Adv. Difference Equ.", year="2020", pages="22 pages", volume="2020" } @Article{Mohammed2020, author="P. O. Mohammed, I. Brevik", title="A New Version of the Hermite-Hadamard Inequality for Riemann-Liouville Fractional Integrals", journal="Symmetry", year="2020", pages="11 pages", volume="12" } @Article{Mohammad2020, author="P. O. Mohammad, M. Z. Sarikaya", title="On generalized fractional integral inequalities for twice differentiable convex functions", journal="J. Comput. Appl. Math.", year="2020", pages="15 pages", volume="372" } @Article{Mohammed2020, author="P. O. Mohammed, M. Z. Sarikaya, D. Baleanu", title="On the Generalized Hermite-Hadamard Inequalities via the Tempered Fractional Integrals", journal="Symmetry", year="2020", pages="17 pages", volume="12" } @Book{Samko1993, author="S. G. Samko, A. A. Kilbas, O. I. Marichev", title="Fractional Integrals and Derivatives", year="1993", publisher="Gordon and Breach Science Publishers", address="Yverdon" } @Article{Sarikaya2013, author="M. Z. Sarikaya, E. Set, H. Yaldiz, N. Başak", title="Hermite--Hadamard's inequlities for fractional integrals and related fractional inequalitis", journal="Math. Comput. Modelling", year="2013", pages="2403--2407", volume="57" } @Article{Set2017, author="E. Set, J. S. Choi, A. Gözpinar", title="Hermite-Hadamard type inequalities for the generalized $k$-fractional integral operators", journal="J. Inequal. Appl.", year="2017", pages="17 pages", volume="2017" } @Article{Tunc, author="T. Tunc, H. Budak, F. Usta, M.Z. Sarikaya", title="On new generalized fractional integral operators and related fractional inequalities", journal="", year="", pages="", volume="" }