arXiv Analytics

Sign in

arXiv:1207.5650 [math.CA]AbstractReferencesReviewsResources

New estimates on generalization of some integral inequalities for quasi-convex functions and their applications

Imdat Iscan

Published 2012-07-24Version 1

In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are quasi-convex. Some applications to special means of real numbers are also given.

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:1207.2436 [math.CA] (Published 2012-07-07, updated 2012-12-02)
New Estimates on Integral Inequalities and Their Applications
arXiv:math/0304345 [math.CA] (Published 2003-04-22)
A Converse of the Jensen Inequality for Convex Mappings of Several Variables and Applications