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.
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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