<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we introduce the concept of operator AG-preinvex functions and prove some Hermite-Hadamard type inequalities for these functions. As application, we obtain some unitarily invariant norm inequalities for operators.</p></abstract>

In this paper, we introduce the concept of operator AG-preinvex functions and prove some Hermite-Hadamard type inequalities for these functions. As application, we obtain some unitarily invariant norm inequalities for operators.

Some Hermite-Hadamard type integral inequalities for operator AG-preinvex functions

Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran,

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper, we introduce the concept of operator AG-preinvex functions and prove some Hermite-Hadamard type inequalities for these functions. As...

Some Hermite-Hadamard type integral inequalities for operator AG-preinvex functions

Published Online: Jan 23, 2017

Page range: 312 - 323

Received: Dec 18, 2015

DOI: https://doi.org/10.1515/ausm-2016-0021

Keywords
Hermite-Hadamard inequality, operator AG-preinvex function, log-convex function, positive linear operator

© 2016 Ali Taghavi et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Some Hermite-Hadamard type integral inequalities for operator AG-preinvex functions

Published Online: Jan 23, 2017

Page range: 312 - 323

Received: Dec 18, 2015

DOI: https://doi.org/10.1515/ausm-2016-0021

KeywordsHermite-Hadamard inequality, operator AG-preinvex function, log-convex function, positive linear operator

© 2016 Ali Taghavi et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Hermite-Hadamard inequality, operator AG-preinvex function, log-convex function, positive linear operator