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Volume 31, Issue 3
A Class of Schur Convex Functions and Several Geometric Inequalities

Wen Wang & Shiguo Yang

DOI: 10.13447/j.1674-5647.2015.03.02

Commun. Math. Res., 31 (2015), pp. 199-210.

Published online: 2021-05

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  • Abstract

Schur convexity, Schur geometrical convexity and Schur harmonic convexity of a class of symmetric functions are investigated. As consequences some known inequalities are generalized. In addition, a class of geometric inequalities involving $n$-dimensional simplex in $n$-dimensional Euclidean space $E^n$ and several matrix inequalities are established to show the applications of our results.

  • Keywords

Schur convex function, Schur geometrically convex function, Schur harmonically convex function, simplex, geometric inequality.

  • AMS Subject Headings

05E05, 26B25, 52A40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-31-199, author = {Wang , Wen and Yang , Shiguo}, title = {A Class of Schur Convex Functions and Several Geometric Inequalities}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {31}, number = {3}, pages = {199--210}, abstract = {

Schur convexity, Schur geometrical convexity and Schur harmonic convexity of a class of symmetric functions are investigated. As consequences some known inequalities are generalized. In addition, a class of geometric inequalities involving $n$-dimensional simplex in $n$-dimensional Euclidean space $E^n$ and several matrix inequalities are established to show the applications of our results.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2015.03.02}, url = {http://global-sci.org/intro/article_detail/cmr/18923.html} }
TY - JOUR T1 - A Class of Schur Convex Functions and Several Geometric Inequalities AU - Wang , Wen AU - Yang , Shiguo JO - Communications in Mathematical Research VL - 3 SP - 199 EP - 210 PY - 2021 DA - 2021/05 SN - 31 DO - http://doi.org/10.13447/j.1674-5647.2015.03.02 UR - https://global-sci.org/intro/article_detail/cmr/18923.html KW - Schur convex function, Schur geometrically convex function, Schur harmonically convex function, simplex, geometric inequality. AB -

Schur convexity, Schur geometrical convexity and Schur harmonic convexity of a class of symmetric functions are investigated. As consequences some known inequalities are generalized. In addition, a class of geometric inequalities involving $n$-dimensional simplex in $n$-dimensional Euclidean space $E^n$ and several matrix inequalities are established to show the applications of our results.

Wen Wang & Shiguo Yang. (2021). A Class of Schur Convex Functions and Several Geometric Inequalities. Communications in Mathematical Research . 31 (3). 199-210. doi:10.13447/j.1674-5647.2015.03.02
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