Moroccan Journal of Pure and Applied Analysis
, 2:9
First online:
Open Access This content is freely available online to anyone, anywhere at any time.
New Hermite Hadamard type inequalities for twice differentiable convex mappings via Green function and applications
 Samet ErdenAffiliated withDepartment of Mathematics, Faculty of Science, Bartin University Email author
 , Mehmet Zeki SarikayaAffiliated withDepartment of Mathematics, Faculty of Science and Arts, Düzce University
Abstract
We derive some Hermite Hamamard type integral inequalities for functions whose second derivatives absolute value are convex. Some eror estimates for the trapezoidal formula are obtained. Finally, some natural applications to special means of real numbers are given.
Key words and phrases
HermiteHadamard inequality convex function Green function Hölder inequality Trapezoidal formula special means Title
 New Hermite Hadamard type inequalities for twice differentiable convex mappings via Green function and applications
 Open Access
 Available under Open Access This content is freely available online to anyone, anywhere at any time.
 Journal

Moroccan Journal of Pure and Applied Analysis
2:9
 Online Date
 July 2016
 DOI
 10.7603/s409560160009x
 Online ISSN
 23518227
 Publisher
 University Sidi Mohamed Ben Abdallah
 Additional Links
 Topics
 Keywords

 HermiteHadamard inequality
 convex function
 Green function
 Hölder inequality
 Trapezoidal formula
 special means
 Authors

 Samet Erden ^{(1)}
 Mehmet Zeki Sarikaya ^{(2)}
 Author Affiliations

 1. Department of Mathematics, Faculty of Science, Bartin University, Bartin, Turkey
 2. Department of Mathematics, Faculty of Science and Arts, Düzce University, Konuralp Campus, Düzce, Turkey