On Iyengar-Type Inequalities via Quasi-Convexity and Quasi-Concavity

Abstract

In this paper, we obtain some new estimations of Iyengar-type inequality in which quasi-convex(quasi-concave) functions are involved. These estimations are improvements of some recently obtained estimations. Some error estimations for the trapezoidal formula are given. Applications for special means are also provided.

arXiv commentThis study has been presented at "International Conference on Functional Equations, Geometric Functions and Applications(ICFGA2012)" in 10-12 May 2012