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

Muhammad Amer Latif, S. S. Dragomir, Ebrahim Momoniat


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.

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