Latif, M.A.Dragomir, S.S.2016-08-152016-08-152015-09Latif, M.A. and Dragomir, S.S. 2015. New integral inequalities of hermite-hadamard type for n-times differentiable s-logarithmically convex functions with applications. Miskolc Mathematical Notes. 16(1), pp.219-235.1787-2405 (Print)1787-2413 (Online)http://hdl.handle.net/10539/20862In this paper, some new integral inequalities of Hermite-Hadamard type are presented for functions whose nth derivatives in absolute value are s-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 s-logarithmically 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.enHermite-hadamard's inequalityHölder integral inequalityS-logarithmically convex functionArticle