Pre-Schur convex functions and some integral inequalities on domains from plane-Reference-Cited by-同舟云学术

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

Published:2023-11-01 Issue:1 Volume:15 Page:70-90
ISSN:2066-7752
Container-title:Acta Universitatis Sapientiae, Mathematica
language:en
Short-container-title:

Author:

Dragomir Silvestru Sever¹

Affiliation:

1. 1 Mathematics, College of Engineering & Science Victoria University , PO Box 14428 Melbourne City, MC 8001 , Australia URL: DST-NRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computer Science & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050 , South Africa

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/ausm-2023-0005

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