<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper, a general integral identity involving Riemann- Liouville fractional integrals is derived. By use this identity, we establish new some generalized inequalities of the Hermite-Hadamard’s type for functions whose absolute values of derivatives are convex.</p></abstract>

In this paper, a general integral identity involving Riemann- Liouville fractional integrals is derived. By use this identity, we establish new some generalized inequalities of the Hermite-Hadamard’s type for functions whose absolute values of derivatives are convex.

Some generalization of integral inequalities for twice differentiable mappings involving fractional integrals

Department of Mathematics, Faculty of Science and Arts, Duzce University, Turkey

Acta Universitatis Sapientiae, Mathematica

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

In this paper, a general integral identity involving Riemann- Liouville fractional integrals is derived. By use this identity, we establish new some...

Some generalization of integral inequalities for twice differentiable mappings involving fractional integrals

Published Online: Feb 09, 2016

Page range: 251 - 264

Received: May 26, 2014

DOI: https://doi.org/10.1515/ausm-2015-0017

Keywords
Hermite-Hadamard’s inequalities, Riemann-Liouville fractional integral, convex functions, integral inequalities

© 2016

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

Some generalization of integral inequalities for twice differentiable mappings involving fractional integrals

Published Online: Feb 09, 2016

Page range: 251 - 264

Received: May 26, 2014

DOI: https://doi.org/10.1515/ausm-2015-0017

KeywordsHermite-Hadamard’s inequalities, Riemann-Liouville fractional integral, convex functions, integral inequalities

© 2016

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

Keywords
Hermite-Hadamard’s inequalities, Riemann-Liouville fractional integral, convex functions, integral inequalities