Hermite-Hadamard inequality for functions whose derivatives absolute values are preinvex
1 Department of Mathematics, Lorestan University, P.O. Box 465, Khoramabad, Iran
2 School of Engineering and Science, Victoria University, P.O. Box 14428, Melbourne City, VIC, 8001, Australia
3 School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg, Wits, 2050, South Africa
Journal of Inequalities and Applications 2012, 2012:247 doi:10.1186/1029-242X-2012-247Published: 29 October 2012
In this article, we extend some estimates of the right-hand side of a Hermite-Hadamard-type inequality for preinvex functions. Then, a generalization to functions of several variables on invex subsets of is introduced.