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The aim of thispaper is to the Hermite-Hadamard type inequalities for functions whose firstderivatives in absolute value is s-convex through the instrument of generalizedKatugampola fractional integrals.

In this paper, some generalization integral inequalities of Hermite-Hadamard type for functions whose derivatives are convex in modulus are given by using fractional integrals.

In this paper, we use the Riemann-Liouville fractional integrals to establish some new integral inequalities of Ostrowski-Gr\"uss type. From our results, the classical Ostrowski-Gr\"uss type inequalities can be deduced as some special cases.

In this paper, the notation of strongly log-convex functions with respect to c>0 is introduced and versions of Hermite Hadamard-type inequalities for strongly logarithmic convex functions are established.

In this paper, we use the Riemann-Liouville fractional integrals to establish some new integral inequalities of Ostrowski-Gr��ss type. From our results, the classical Ostrowski-Gr��ss type inequalities can be deduced as some special cases.