Some Improvements on Hermite-Hadamard's Inequalities for $s$-Convex Functions
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@Article{JMS-49-82,
author = {Li , Yujiao and Du , Tingsong},
title = {Some Improvements on Hermite-Hadamard's Inequalities for $s$-Convex Functions},
journal = {Journal of Mathematical Study},
year = {2016},
volume = {49},
number = {1},
pages = {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.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v49n1.16.10}, url = {http://global-sci.org/intro/article_detail/jms/992.html} }
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 -
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.
Li , Yujiao and Du , Tingsong. (2016). Some Improvements on Hermite-Hadamard's Inequalities for $s$-Convex Functions.
Journal of Mathematical Study. 49 (1).
82-92.
doi:10.4208/jms.v49n1.16.10
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