Schur Convexity and Inequalities for a Multivariate Symmetric Function
In the article, we provide the Schur, Schur multiplicative, and Schur harmonic convexities properties for the symmetry function Fnx,r=Fnx1,x2,⋯,xn;r=∏1≤i1<i2<⋯<ir≤n ∑j=1r xij/1−xij1/r on 0,1n and find several new analytical inequalities by use of the majorization theory, where x=x1,⋯,xn∈0,1...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/9676231 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832559978181820416 |
|---|---|
| author | Ming-Bao Sun Xin-Ping Li Sheng-Fang Tang Zai-Yun Zhang |
| author_facet | Ming-Bao Sun Xin-Ping Li Sheng-Fang Tang Zai-Yun Zhang |
| author_sort | Ming-Bao Sun |
| collection | DOAJ |
| description | In the article, we provide the Schur, Schur multiplicative, and Schur harmonic convexities properties for the symmetry function Fnx,r=Fnx1,x2,⋯,xn;r=∏1≤i1<i2<⋯<ir≤n ∑j=1r xij/1−xij1/r on 0,1n and find several new analytical inequalities by use of the majorization theory, where x=x1,⋯,xn∈0,1n, r=1,2,⋯,n and i1,i2,⋯,in are positive integers. |
| format | Article |
| id | doaj-art-725d6826cb0941e4aa5134f0d158bb3c |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-725d6826cb0941e4aa5134f0d158bb3c2025-02-03T01:28:42ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/96762319676231Schur Convexity and Inequalities for a Multivariate Symmetric FunctionMing-Bao Sun0Xin-Ping Li1Sheng-Fang Tang2Zai-Yun Zhang3School of Mathematics, Hunan Institute of Science and Technology, Yueyang 414006, ChinaSchool of Mathematics, Hunan Institute of Science and Technology, Yueyang 414006, ChinaSchool of Mathematics, Hunan Institute of Science and Technology, Yueyang 414006, ChinaSchool of Mathematics, Hunan Institute of Science and Technology, Yueyang 414006, ChinaIn the article, we provide the Schur, Schur multiplicative, and Schur harmonic convexities properties for the symmetry function Fnx,r=Fnx1,x2,⋯,xn;r=∏1≤i1<i2<⋯<ir≤n ∑j=1r xij/1−xij1/r on 0,1n and find several new analytical inequalities by use of the majorization theory, where x=x1,⋯,xn∈0,1n, r=1,2,⋯,n and i1,i2,⋯,in are positive integers.http://dx.doi.org/10.1155/2020/9676231 |
| spellingShingle | Ming-Bao Sun Xin-Ping Li Sheng-Fang Tang Zai-Yun Zhang Schur Convexity and Inequalities for a Multivariate Symmetric Function Journal of Function Spaces |
| title | Schur Convexity and Inequalities for a Multivariate Symmetric Function |
| title_full | Schur Convexity and Inequalities for a Multivariate Symmetric Function |
| title_fullStr | Schur Convexity and Inequalities for a Multivariate Symmetric Function |
| title_full_unstemmed | Schur Convexity and Inequalities for a Multivariate Symmetric Function |
| title_short | Schur Convexity and Inequalities for a Multivariate Symmetric Function |
| title_sort | schur convexity and inequalities for a multivariate symmetric function |
| url | http://dx.doi.org/10.1155/2020/9676231 |
| work_keys_str_mv | AT mingbaosun schurconvexityandinequalitiesforamultivariatesymmetricfunction AT xinpingli schurconvexityandinequalitiesforamultivariatesymmetricfunction AT shengfangtang schurconvexityandinequalitiesforamultivariatesymmetricfunction AT zaiyunzhang schurconvexityandinequalitiesforamultivariatesymmetricfunction |