RGMIA Monographs

S.S. Dragomir   and   C.E.M. Pearce 
Selected Topics on Hermite-Hadamard Inequalities and Applications  
(361 pages in total)
2000 (first version) (pdf
2002 (amended version) (pdf) (ps)


The Hermite-Hadamard double inequality is the first fundamental result for convex functions defined on a interval of real numbers with a natural geometrical interpretation and a loose number of applications for particular inequalities. In this monograph we present the basic facts related to Hermite-Hadamard inequalities for convex functions and a large number of results for special means which can naturally be deduced. Hermite-Hadamard type inequalities for other concepts of convexities are also given. The properties of a number of functions and functionals or sequences of functions which can be associated in order to refine the H. - H result are pointed out. Recent references that are available online are mentioned as well.

Note: This book is not in final form. The authors invite researchers who have published relevant papers to contact S.S. Dragomir for their results to be included in a new version.
To reference this book, please use the following:
S.S. DRAGOMIR and C.E.M. PEARCE, Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000. (ONLINE: http://ajmaa.org/RGMIA/monographs.php/)