Year: 2016
Author: Yujiao Li, Tingsong Du
Journal of Mathematical Study, Vol. 49 (2016), Iss. 1 : pp. 82–92
Abstract
Using an integral identity for a once differentiable mapping, this paper establishes Hadamard's integral inequalities for $s$-convex and $s$-concave mappings. In particular, our results improve and extend some known ones in the literature. Finally, these inequalities are applied to special means.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v49n1.16.10
Journal of Mathematical Study, Vol. 49 (2016), Iss. 1 : pp. 82–92
Published online: 2016-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Convex function $s$-convex function Hadamard's inequality.