<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The aim of this paper is to establish some generalized integral inequalities for convex functions of 2-variables on the co-ordinat. Then, we will give a generalized identity and with the help of this integral identity, we will investigate some integral inequalities connected with the right hand side of the Hermite-Hadamard type inequalities involving Riemann integrals and Riemann-Liouville fractional integrals.</p>
</abstract>

The aim of this paper is to establish some generalized integral inequalities for convex functions of 2-variables on the co-ordinat. Then, we will give a generalized identity and with the help of this integral identity, we will investigate some integral inequalities connected with the right hand side of the Hermite-Hadamard type inequalities involving Riemann integrals and Riemann-Liouville fractional integrals.

On the Generalized Inequalities for Co-Ordinated Convex Functions

Department of Mathematics, Faculty of Science and Arts

Tatra Mountains Mathematical Publications

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

{"article-title":"On the Generalized Inequalities for Co-Ordinated Convex Functions"}

The aim of this paper is to establish some generalized integral inequalities for convex functions of 2-variables on the co-ordinat. Then, we will give a...

On the Generalized Inequalities for Co-Ordinated Convex Functions

Published Online: Nov 29, 2022

Page range: 69 - 80

Received: Jun 23, 2021

DOI: https://doi.org/10.2478/tmmp-2022-0004

Keywords
Riemann-Liouville fractional integrals, convex function, co-ordinated convex mapping, Hermite-Hadamard inequality and Hölder’s inequality

© 2022 Mehmet Zeki Sarıkaya, published by Sciendo

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

On the Generalized Inequalities for Co-Ordinated Convex Functions

Published Online: Nov 29, 2022

Page range: 69 - 80

Received: Jun 23, 2021

DOI: https://doi.org/10.2478/tmmp-2022-0004

KeywordsRiemann-Liouville fractional integrals, convex function, co-ordinated convex mapping, Hermite-Hadamard inequality and Hölder’s inequality

© 2022 Mehmet Zeki Sarıkaya, published by Sciendo

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

Keywords
Riemann-Liouville fractional integrals, convex function, co-ordinated convex mapping, Hermite-Hadamard inequality and Hölder’s inequality