On Hermite-Hadamard Type Integral Inequalities for n-times Dierentiable m- and ($\alpha$, m)-Logarithmically Convex Functions

Abstract

In this paper, we establish Hermite-Hadamard type inequalities
for functions whose nth derivatives are m- and (a,m) logarithmically convex functions. From our results, several results for classical trapezoidal and classical midpoint inequalities are obtained in terms second derivatives that are m- and (a,m)-logarithmically convex functions as special cases.