INEQUALITIES FOR DOUBLE INTEGRALS OF SCHUR CONVEX FUNCTIONS ON SYMMETRIC AND CONVEX DOMAINS

Authors

  • S. S. Dragomir 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 Author

Keywords:

Schur convex functions, double integral inequalities

Subjects:

26D15

Abstract

In this paper, by making use of Green's identity for double integrals, weestablish some integral inequalities for Schur convex functions defined ondomains $D\subset R^{2}$ that are symmetric, convex and havenonempty interiors. Examples for squares and disks are also provided.

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Published

2021-01-15

Issue

Vol. 73 No. 1 (2021): Vol. 73, Issue 1

Section

Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.