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In this paper, we first establish two new identities for differentiable function involving generalized fractional integrals. Then, by utilizing these equalities, we obtain some midpoint type inequalities involving generalized fractional integrals for mappings whose derivatives in absolute values are convex. We also give several results as special cases of our main results. [ABSTRACT FROM AUTHOR]

In this paper, we first establish some new Hermite-Hadamard type inequalities for approximately h-convex function by using generalized fractional integrals. Also, some midpoint and trapezoid type inequalities for approximately h-convex functions via generalized fractional integrals are presented. At the end, a briefly conclusion is given. Our results may stimulate further research in different areas of pure and applied sciences. [ABSTRACT FROM AUTHOR]

In this paper, we firstly obtain a new generalized identity for Riemann-Liouville fractional integrals. Then, utilizing this equality, we obtain some Midpoint type inequalities for convex and concave functions. We also give several remarks and corollaries as spacial cases. [ABSTRACT FROM AUTHOR]