New integral inequalities of hermite-hadamard type for n-times differentiable s-logarithmically convex functions with applications.

dc.contributor.author	Latif, M.A.
dc.contributor.author	Dragomir, S.S.
dc.date.accessioned	2016-08-15T10:28:56Z
dc.date.available	2016-08-15T10:28:56Z
dc.date.issued	2015-09
dc.description.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.	en_ZA
dc.identifier.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.	en_ZA
dc.identifier.issn	1787-2405 (Print)
dc.identifier.issn	1787-2413 (Online)
dc.identifier.uri	http://hdl.handle.net/10539/20862
dc.language.iso	en	en_ZA
dc.publisher	University of Miskolc	en_ZA
dc.subject	Hermite-hadamard's inequality	en_ZA
dc.subject	Hölder integral inequality	en_ZA
dc.subject	S-logarithmically convex function	en_ZA
dc.title	New integral inequalities of hermite-hadamard type for n-times differentiable s-logarithmically convex functions with applications.	en_ZA
dc.type	Article	en_ZA

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