New integral inequalities of hermite-hadamard type for n-times differentiable s-logarithmically convex functions with applications.
Date
2015-09
Authors
Latif, M.A.
Dragomir, S.S.
Journal Title
Journal ISSN
Volume Title
Publisher
University of Miskolc
Abstract
In 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.
Description
Keywords
Hermite-hadamard's inequality, Hölder integral inequality, S-logarithmically convex function
Citation
Latif, 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.