<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

Pubblicato online: 04 feb 2017

Pagine: 107 - 118

Ricevuto: 15 mar 2016

Accettato: 20 giu 2016

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

Parole chiave
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

Pubblicato online: 04 feb 2017

Pagine: 107 - 118

Ricevuto: 15 mar 2016

Accettato: 20 giu 2016

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

Parole chiaveHermite-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.

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