Multiple Integral Inequalities for Schur Convex Functions on Symmetric and Convex Bodies

Multiple Integral Inequalities for Schur Convex Functions on Symmetric and Convex Bodies

Year:    2023

Author:    Silvestru Sever Dragomir

Analysis in Theory and Applications, Vol. 39 (2023), Iss. 1 : pp. 1–15

Abstract

In this paper, by making use of Divergence theorem for multiple integrals, we establish some integral inequalities for Schur convex functions defined on bodies $B⊂\mathbb{R}^n$ that are symmetric, convex and have nonempty interiors. Examples for three dimensional balls are also provided.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.OA-2019-0023

Analysis in Theory and Applications, Vol. 39 (2023), Iss. 1 : pp. 1–15

Published online:    2023-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Schur convex functions multiple integral inequalities.

Author Details

Silvestru Sever Dragomir