The intention of this article is to investigate the most important inequalities of m -convex functions without using their derivatives. The article also provides a brief survey of general properties of m -convex functions.

In this paper we obtain some new integral inequalities like Hermite-Hadamard type for log convex functions and P functions.

Abstract:In this paper, we obtain some new inequalities for functions whose second derivatives' absolute value is s−convex and log −convex. Also, we give some applications for numerical integration.

In this paper, firstly we prove an integral identity that one can derive several new equalities for special selections of n from this identity: Secondly, we established more general integral inequalities for functions whose second derivatives of absolute values are GA-convex functions based on this equality.

Abstract. In this paper, we established some Ostrowski like integral inequalities for functions whose derivatives of absolute values are GG -convex and GA -convex functions via a new integral identity. General results are obtained using the weighted Montgomery identity. Also, particular results for the weight function w(t) = 1 t log b/a are given.Mathematics subject classification (2010): 26D15, 26A51, 26E60, 41A55.