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.