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

Silvestru Sever Dragomir

doi:10.2478/ausm-2023-0005

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

Acta Universitatis Sapientiae, Mathematica

Volume 15 (2023): Issue 1 (November 2023)

By: Silvestru Sever Dragomir

Open Access

|Nov 2023

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/ausm-2023-0005 | Journal eISSN: 2066-7752

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Language: English

Page range: 70 - 90

Submitted on: Sep 15, 2020

Published online: Nov 15, 2023

Published in print: Nov 1, 2023

Published by: Sapientia Hungarian University of Transylvania

In partnership with: Paradigm Publishing Services

Keywords:

Schur convex functions,

double integral inequalities

MSC:

26D15

Related subjects:

Mathematics,

General mathematics

© 2023 Silvestru Sever Dragomir, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 15 (2023): Issue 1 (November 2023)