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

<p>In this paper we introduce the concept of pre-Schur convex functions defined on general domains from plane. Then, by making use of Green’s identity for double integrals, we establish some integral inequalities for this class of functions that naturally generalize the case of Schur convex functions. Some exmples for rectangles and disks are also provided.</p>
</abstract>

In this paper we introduce the concept of pre-Schur convex functions defined on general domains from plane. Then, by making use of Green’s identity for double integrals, we establish some integral inequalities for this class of functions that naturally generalize the case of Schur convex functions. Some exmples for rectangles and disks are also provided.

Pre-Schur convex functions and some integral inequalities on domains from plane

Mathematics, College of Engineering & Science Victoria University

Acta Universitatis Sapientiae, Mathematica

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

{"article-title":"Pre-Schur convex functions and some integral inequalities on domains from plane"}

In this paper we introduce the concept of pre-Schur convex functions defined on general domains from plane. Then, by making use of Green’s identity for double...

Pre-Schur convex functions and some integral inequalities on domains from plane

Published Online: Nov 15, 2023

Page range: 70 - 90

Received: Sep 15, 2020

DOI: https://doi.org/10.2478/ausm-2023-0005

Keywords
Schur convex functions, double integral inequalities

© 2023 Silvestru Sever Dragomir, published by Sciendo

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

Pre-Schur convex functions and some integral inequalities on domains from plane

Published Online: Nov 15, 2023

Page range: 70 - 90

Received: Sep 15, 2020

DOI: https://doi.org/10.2478/ausm-2023-0005

KeywordsSchur convex functions, double integral inequalities

© 2023 Silvestru Sever Dragomir, published by Sciendo

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

Keywords
Schur convex functions, double integral inequalities