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Öğe NEW EXTENSIONS OF THE HERMITE-HADAMARD INEQUALITIES INVOLVING RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS(Univ Miskolc Inst Math, 2020) Budak, Hüseyin; Kara, H.; Sarıkaya, Mehmet Zeki; Kiris, M. E.In this study, we establish the above and below bounds for the left and right hand sides of fractional Hermite-Hadamard inequalities by using functions whose second derivatives are bounded. We also give some refinements of fractional Hermite-Hadamard inequalities by using the functions that have the conditions f'(a + b - t) - f'(t) >= 0, t is an element of [a, a+b/2].
