Research Article

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


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

Hermite-Hadamard inequality convex function Green function Hölder inequality Trapezoidal formula special means