Several inequalities For log-convex functions

Abstract

In this paper, we recall Ostrowski’s inequality, Hadamard’s inequality and the definition of $log$-convex functions. We also mention an useful integral identity in the first part of our study. The second part of our study includes new results. We prove new generalizations for $log$-convex functions. Several new Ostrowski type inequalities have been established and some special cases have been given by choosing $h=0$ or $x=\frac{a+b}{2}.$