arXiv Analytics

Sign in

arXiv:1406.5409 [math.CA]AbstractReferencesReviewsResources

Inequalities of Hermite-Hadamard type for extended $s$-convex functions and applications to means

Bo-Yan Xi, Feng Qi

Published 2014-06-19Version 1

In the paper, the authors introduce a new concept "extended $s$-convex functions", establish some new integral inequalities of Hermite-Hadamard type for this kind of functions, and apply these inequalities to derive some inequalities of special means.

Comments: 17 pages
Categories: math.CA
Subjects: 26A51, 26D15, 26D20, 26E60, 41A55
Related articles: Most relevant | Search more
arXiv:1207.1828 [math.CA] (Published 2012-07-07, updated 2012-07-30)
A new generalization of some integral inequalities and their applications
arXiv:1207.5650 [math.CA] (Published 2012-07-24)
New estimates on generalization of some integral inequalities for quasi-convex functions and their applications
arXiv:1207.2436 [math.CA] (Published 2012-07-07, updated 2012-12-02)
New Estimates on Integral Inequalities and Their Applications

Links

Toolbox