A Reverse Analytic Inequality for the Elementary Symmetric Function with Applications
We give a reverse inequality involving the elementary symmetric function by use of the Schur harmonic convexity theory. As applications, several new analytic inequalities for the n-dimensional simplex are established.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/674567 |
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| _version_ | 1849306199961370624 |
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| author | Huan-Nan Shi Jing Zhang |
| author_facet | Huan-Nan Shi Jing Zhang |
| author_sort | Huan-Nan Shi |
| collection | DOAJ |
| description | We give a reverse inequality involving the elementary symmetric function by use of the Schur harmonic convexity theory. As applications, several new analytic inequalities for the n-dimensional simplex are established. |
| format | Article |
| id | doaj-art-38f70c10557241238bedcf46b50f8f49 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-38f70c10557241238bedcf46b50f8f492025-08-20T03:55:11ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/674567674567A Reverse Analytic Inequality for the Elementary Symmetric Function with ApplicationsHuan-Nan Shi0Jing Zhang1Department of Electronic Information, Teacher's College, Beijing Union University, Beijing 100011, ChinaBasic Courses Department, Beijing Union University, Beijing 100101, ChinaWe give a reverse inequality involving the elementary symmetric function by use of the Schur harmonic convexity theory. As applications, several new analytic inequalities for the n-dimensional simplex are established.http://dx.doi.org/10.1155/2013/674567 |
| spellingShingle | Huan-Nan Shi Jing Zhang A Reverse Analytic Inequality for the Elementary Symmetric Function with Applications Journal of Applied Mathematics |
| title | A Reverse Analytic Inequality for the Elementary Symmetric Function with Applications |
| title_full | A Reverse Analytic Inequality for the Elementary Symmetric Function with Applications |
| title_fullStr | A Reverse Analytic Inequality for the Elementary Symmetric Function with Applications |
| title_full_unstemmed | A Reverse Analytic Inequality for the Elementary Symmetric Function with Applications |
| title_short | A Reverse Analytic Inequality for the Elementary Symmetric Function with Applications |
| title_sort | reverse analytic inequality for the elementary symmetric function with applications |
| url | http://dx.doi.org/10.1155/2013/674567 |
| work_keys_str_mv | AT huannanshi areverseanalyticinequalityfortheelementarysymmetricfunctionwithapplications AT jingzhang areverseanalyticinequalityfortheelementarysymmetricfunctionwithapplications AT huannanshi reverseanalyticinequalityfortheelementarysymmetricfunctionwithapplications AT jingzhang reverseanalyticinequalityfortheelementarysymmetricfunctionwithapplications |