Multiple Integral Inequalities for Schur Convex Functions on Symmetric and Convex Bodies
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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.
Silvestru Sever Dragomir. (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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