Some new results related to the left-hand side of the Hermite-Hadamard type inequalities for the class of functions whose second derivatives at certain powers are s-convex functions in the second sense are obtained. Also, some applications to special means of real numbers are provided. MSC: Primary 26A51; 26D15

No abstract

Abstract. In this paper, we use the Riemann-Liouville fractional integrals to establish several new inequalities for some differantiable mappings that are connected with the celebrated Ostrowski type integral inequality.

In this paper, we give some definitions on quasi-convex functions and we prove inequalities contain J-quasi-convex and W-quasi-convex functions. We give also some inclusions.

Abstract. In this paper, we obtain new bounds for the inequalities of Simpson and HermiteHadamard type for functions whose second derivatives absolute values are P -convex. Some applications for special means of real numbers are also given.