The Schur Multiplicative and Harmonic Convexities for Three Classes of Symmetric Functions
We investigate the Schur harmonic convexity for two classes of symmetric functions and the Schur multiplicative convexity for a class of symmetric functions by using a new method and generalizing previous result. As applications, we establish some inequalities by use of the theory of majorization, i...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/4036942 |
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| _version_ | 1832559916195250176 |
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| author | Ming-bao Sun Xin-ping Li Ying-hui Zhang Zai-yuan Zhang |
| author_facet | Ming-bao Sun Xin-ping Li Ying-hui Zhang Zai-yuan Zhang |
| author_sort | Ming-bao Sun |
| collection | DOAJ |
| description | We investigate the Schur harmonic convexity for two classes of symmetric functions and the Schur multiplicative convexity for a class of symmetric functions by using a new method and generalizing previous result. As applications, we establish some inequalities by use of the theory of majorization, in particular, and we give some new geometric inequalities in the n-dimensional space. |
| format | Article |
| id | doaj-art-919b10b357df472ebd74215502fd82f6 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-919b10b357df472ebd74215502fd82f62025-02-03T01:28:50ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/40369424036942The Schur Multiplicative and Harmonic Convexities for Three Classes of Symmetric FunctionsMing-bao Sun0Xin-ping Li1Ying-hui Zhang2Zai-yuan Zhang3School of Mathematics, Hunan Institute of Science and Technology, Yueyang, Hunan 414006, ChinaSchool of Mathematics, Hunan Institute of Science and Technology, Yueyang, Hunan 414006, ChinaSchool of Mathematics, Hunan Institute of Science and Technology, Yueyang, Hunan 414006, ChinaSchool of Mathematics, Hunan Institute of Science and Technology, Yueyang, Hunan 414006, ChinaWe investigate the Schur harmonic convexity for two classes of symmetric functions and the Schur multiplicative convexity for a class of symmetric functions by using a new method and generalizing previous result. As applications, we establish some inequalities by use of the theory of majorization, in particular, and we give some new geometric inequalities in the n-dimensional space.http://dx.doi.org/10.1155/2018/4036942 |
| spellingShingle | Ming-bao Sun Xin-ping Li Ying-hui Zhang Zai-yuan Zhang The Schur Multiplicative and Harmonic Convexities for Three Classes of Symmetric Functions Journal of Function Spaces |
| title | The Schur Multiplicative and Harmonic Convexities for Three Classes of Symmetric Functions |
| title_full | The Schur Multiplicative and Harmonic Convexities for Three Classes of Symmetric Functions |
| title_fullStr | The Schur Multiplicative and Harmonic Convexities for Three Classes of Symmetric Functions |
| title_full_unstemmed | The Schur Multiplicative and Harmonic Convexities for Three Classes of Symmetric Functions |
| title_short | The Schur Multiplicative and Harmonic Convexities for Three Classes of Symmetric Functions |
| title_sort | schur multiplicative and harmonic convexities for three classes of symmetric functions |
| url | http://dx.doi.org/10.1155/2018/4036942 |
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