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Volume 39, Issue 1
Multiple Integral Inequalities for Schur Convex Functions on Symmetric and Convex Bodies

Silvestru Sever Dragomir

Anal. Theory Appl., 39 (2023), pp. 1-15.

Published online: 2023-03

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  • 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.

  • AMS Subject Headings

26D15

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COPYRIGHT: © Global Science Press

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@Article{ATA-39-1, author = {Dragomir , Silvestru Sever}, title = {Multiple Integral Inequalities for Schur Convex Functions on Symmetric and Convex Bodies}, journal = {Analysis in Theory and Applications}, year = {2023}, volume = {39}, number = {1}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2019-0023}, url = {http://global-sci.org/intro/article_detail/ata/21456.html} }
TY - JOUR T1 - Multiple Integral Inequalities for Schur Convex Functions on Symmetric and Convex Bodies AU - Dragomir , Silvestru Sever JO - Analysis in Theory and Applications VL - 1 SP - 1 EP - 15 PY - 2023 DA - 2023/03 SN - 39 DO - http://doi.org/10.4208/ata.OA-2019-0023 UR - https://global-sci.org/intro/article_detail/ata/21456.html KW - Schur convex functions, multiple integral inequalities. AB -

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.

Dragomir , Silvestru Sever. (2023). Multiple Integral Inequalities for Schur Convex Functions on Symmetric and Convex Bodies. Analysis in Theory and Applications. 39 (1). 1-15. doi:10.4208/ata.OA-2019-0023
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