<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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</p></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

New Hermite Hadamard type inequalities for twice differentiable convex mappings via Green function and applications

Department of Mathematics, Faculty of Science, Bartın University, Bartın,

Department of Mathematics, Faculty of Science and Arts, Düzce University, Konuralp Campus, Düzce,

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

We derive some Hermite Hamamard type integral inequalities for functions whose second derivatives absolute value are convex. Some eror estimates for the...

New Hermite Hadamard type inequalities for twice differentiable convex mappings via Green function and applications

Article Category: Research Article

Published Online: Feb 04, 2017

Page range: 107 - 118

Received: Mar 15, 2016

Accepted: Jun 20, 2016

DOI: https://doi.org/10.7603/s40956-016-0009-x

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

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

New Hermite Hadamard type inequalities for twice differentiable convex mappings via Green function and applications

Article Category: Research Article

Published Online: Feb 04, 2017

Page range: 107 - 118

Received: Mar 15, 2016

Accepted: Jun 20, 2016

DOI: https://doi.org/10.7603/s40956-016-0009-x

KeywordsHermite-Hadamard inequality, convex function, Green function, Hölder inequality, Trapezoidal formula, special means

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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