@Article{Awan2008, author="M. U. Awan, M. A. Noor, M. V. Mihai, K. I. Noor", title="Inequalities via harmonic convex functions: Conformable fractional calculus approach", journal="J. Math. Inequal.", year="2008", pages="143--153", volume="12" } @Article{Chen2015, author="F. Chen", title="Extension of the Hermite-Hadamard inequality for harmonicaly convex functions via fractional integrals", journal="Appl. Math. Comut.", year="2015", pages="121--128", volume="268" } @Article{Chen2017, author="H. Chen, U. N. Katugampola", title="Katugampola, Hermite--Hadamard and Hermite--Hadamard--Fejer type inequalities for generalizes fractional integrals", journal="J. Math. Anal. Appl.", year="2017", pages="1274--1291", volume="446" } @Article{Fejer1906, author="L. Fejer", title="Über die Fourierreihen, II", journal="Math. Naturwise. Anz Ungar. Akad. Wiss.", year="1906", pages="369--390", volume="24" } @Article{Hadamard1893, author="J. Hadamard", title="Étude sur les propriétés des fonctions entières et en particulier d'une fonction considérée par Riemann", journal="J. Math. Pures Appl.", year="1893", pages="171--215", volume="58" } @Article{Işcan2014, author="I. Işcan", title="Hermite-Hadamard-Fejer type inequalities for convex functions via fractional integrals", journal="arXiv", year="2014", pages="10 pages", volume="2014" } @Article{Işcan2016, author="I. Işcan", title="Hermite-Hadamard type inequalities for $p$-convex functions", journal="Int. J. Anal. Appl.", year="2016", pages="137--145", volume="11" } @Article{Işcan2014, author="I. Işcan, S. H. Wu", title="Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals", journal="Appl. Math. Comput.", year="2014", pages="237--244", volume="238" } @Article{Jarad2017, author="F. Jarad, E. Uğurlu, T. Abdeljawad, D. Baleanu", title="On a new class of fractional operators", journal="Adv. Difference Equ.", year="2017", pages="16 pages", volume="2017" } @Article{Katugampola2014, author="U. N. Katugampola", title="New approach to generalized fractional derivatives", journal="Bull. Math. Anal. Appl.", year="2014", pages="1--15", volume="6" } @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{Kunt2017, author="M. Kunt, I. Işcan", title="Hermite-Hadamard-Fejér type inequalities for $p$-convex functions", journal="Arab. J. Math. Sci.", year="2017", pages="215--230", volume="23" } @Article{Kunt2018, author="M. Kunt, I. Işcan", title="Hermite-Hadamard-Fejér type inequalities for $p$-convex functions via fractional integrals", journal="Iran. J. Sci. Technol. Trans. A Sci.", year="2018", pages="2079--2089", volume="42" } @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{Set2016, author="E. Set, A. O. Akdemir, I. Mumcu", title="The Hermite--Hadamard's inequality and its extentions for conformable fractioanal integrals of any order $\alpha>0$", journal="preprint", year="2016", pages="13 pages", volume="2016" } @Article{Set2018, author="E. Set, J. Choi, A. Gözpınar", title="Hermite-Hadamard type inequalities for new fractional conformable integral operators", journal="preprint", year="2018", pages="7 pages", volume="2018" } @Article{Set2010, author="E. Set, M. E. Özdemir, S. S. Dragomir", title="On Hadamard-type inequalities involving seversl kinds of convexity", journal="J. Inequal. Appl.", year="2010", pages="12 pages", volume="2010" } @Article{Set2016, author="E. Set, M. Z. Sarikaya, A. Gözpınarc", title="Some Hermite--Hadamard type inequalities for convex functions via conformable fractional integrals and related inequalities", journal="Creat. Math. Inform.", year="2016", pages="221--229", volume="26" } @Article{Set2014, author="E. Set, M. Z. Sarikaya, M. E. Özdemir, H. Yaldirm", title="The Hermite--Hadamard's inequality for some convex functions via fractional integrals and related results", journal="J. Appl. Math. Stat. Inform.", year="2014", pages="69--83", volume="10" } @Article{Toader1985, author="G. H. Toader", title="Some generalizations of the convexity", journal="Proc. Colloq. Approx. Optim (Cluj-Napoca, Romania)", year="1985", pages="329--338", volume="1985" }