TY - JOUR
T1 - Some Improvements on Hermite-Hadamard's Inequalities for $s$-Convex Functions
AU - Li , Yujiao
AU - Du , Tingsong
JO - Journal of Mathematical Study
VL - 1
SP - 82
EP - 92
PY - 2016
DA - 2016/03
SN - 49
DO - http://doi.org/10.4208/jms.v49n1.16.10
UR - https://global-sci.org/intro/article_detail/jms/992.html
KW - Convex function, $s$-convex function, Hadamard's inequality.
AB - <p style="text-align: justify;">Using an integral identity for a once differentiable mapping, this paper establishes
Hadamard&#39;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.</p>