<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The concept of (Orlicz, Breckner) co-ordinated (<italic>s, σ</italic>)-convexity is introduced for two variables real functions. Upper and lower sharp integral boundary properties of Hermite-Hadamard type are proved on rectangles.</p></abstract>

The concept of (Orlicz, Breckner) co-ordinated (s, σ)-convexity is introduced for two variables real functions. Upper and lower sharp integral boundary properties of Hermite-Hadamard type are proved on rectangles.

Integral inequalities for (Orlicz, Breckner) co-ordinated convex functions on rectangles

Department of Mathematics and Computer Sciences, Aurel Vlaicu University of Arad, Bd. Revoluţiei nr.77, Arad, România

Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan

Government College University, Faisalabad, Pakistan

Department of Computer Sciences, West University of Timişoara, Vasile Pârvan nr. 4, Timişoara, România

Annals of West University of Timisoara - Mathematics and Computer Science

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

The concept of (Orlicz, Breckner) co-ordinated (s, σ)-convexity is introduced for two variables real functions. Upper and lower sharp integral boundary...

Integral inequalities for (Orlicz, Breckner) co-ordinated convex functions on rectangles

Published Online: Apr 09, 2016

Page range: 17 - 28

Received: Sep 23, 2015

Accepted: Dec 27, 2015

DOI: https://doi.org/10.1515/awutm-2015-0012

Keywords
convex function, Breckner-Orlicz convex function on coordinates, Hermite-Hadamard type inequality

© 2015 Annals of West University of Timisoara - Mathematics

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

Integral inequalities for (Orlicz, Breckner) co-ordinated convex functions on rectangles

Published Online: Apr 09, 2016

Page range: 17 - 28

Received: Sep 23, 2015

Accepted: Dec 27, 2015

DOI: https://doi.org/10.1515/awutm-2015-0012

Keywordsconvex function, Breckner-Orlicz convex function on coordinates, Hermite-Hadamard type inequality

© 2015 Annals of West University of Timisoara - Mathematics

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

Keywords
convex function, Breckner-Orlicz convex function on coordinates, Hermite-Hadamard type inequality