MMN-1253
New integral inequalities of Hermite-Hadamard type for $n$-times differentiable $s$-logarithimcally convex functions with applications
Abstract
In this paper, some new integral inequalities of Hermite-Hadamard type are presetned for functions whose nth derivatives in absolute value are s-logarthimically 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 s-logarthimically convex functions as special cases. Our results may provide refinements of some results for s-logarithmically convex functions already exist in literature. Finally, applications to special means of the established results are given.
Vol. 16 (2015), No. 1, pp. 219-235