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

Gabriela Cristescu; Muhammad Aslam Noor; Muhammad Uzair Awan; Mihail Găaianu

doi:10.1515/awutm-2015-0012

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

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 53 (2015): Issue 2 (December 2015)

By: Gabriela Cristescu, Muhammad Aslam Noor, Muhammad Uzair Awan and Mihail Găaianu

Open Access

|Apr 2016

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.

References

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Articles in this issue

DOI: https://doi.org/10.1515/awutm-2015-0012 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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Language: English

Page range: 17 - 28

Submitted on: Sep 23, 2015

Accepted on: Dec 27, 2015

Published on: Apr 9, 2016

Published by: West University of Timisoara

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

convex function,

Breckner-Orlicz convex function on coordinates,

Hermite-Hadamard type inequality

Related subjects:

Mathematics,

General mathematics

© 2016 Gabriela Cristescu, Muhammad Aslam Noor, Muhammad Uzair Awan, Mihail Găaianu, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 53 (2015): Issue 2 (December 2015)