Some Improvements on Hermite-Hadamard's Inequalities for $s$-Convex Functions

Authors

  • Yujiao Li Department of Mathematics, Science College, China Three Gorges University, Yichang 443002, Hubei, P.R. China
  • Tingsong Du Department of Mathematics, Science College, China Three Gorges University, Yichang 443002, Hubei, P.R. China

DOI:

https://doi.org/10.4208/jms.v49n1.16.10

Keywords:

Convex function, $s$-convex function, Hadamard's inequality.

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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Published

2018-08-16

Issue

Vol. 49 No. 1 (2016)

Section

Articles