INEQUALITIES OF HERMITE-HADAMARD TYPE FOR n-TIMES DIFFERENTIABLE (α,m)-LOGARITHMICALLY CONVEX FUNCTIONS.

In this paper, some new integral inequalities of Hermite-Hadamard type are presented for functions whose nth derivatives in absolute value are (α,m)-logarithmically convex. From our results, several inequalities of Hermite-Hadamard type can be derived in terms of functions whose first and second derivatives in absolute value are (α,m)-logarithmically convex functions as special cases. Our results may provide refinements of some results for (α,m)-logarithmically convex functions already exist in the most recent concerned literature of inequalities. [ABSTRACT FROM AUTHOR]