The Schur-Convexity of the Generalized Muirhead-Heronian Means
We give a unified generalization of the generalized Muirhead means and the generalized Heronian means involving three parameters. The Schur-convexity of the generalized Muirhead-Heronian means is investigated. Our main result implies the sufficient conditions of the Schur-convexity of the generalize...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/706518 |
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| _version_ | 1849406784992706560 |
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| author | Yong-Ping Deng Shan-He Wu Yu-Ming Chu Deng He |
| author_facet | Yong-Ping Deng Shan-He Wu Yu-Ming Chu Deng He |
| author_sort | Yong-Ping Deng |
| collection | DOAJ |
| description | We give a unified generalization of the generalized Muirhead means and the generalized Heronian means involving three parameters. The Schur-convexity of the generalized Muirhead-Heronian means is investigated. Our main result implies the sufficient conditions of the Schur-convexity of the generalized Heronian means and the generalized Muirhead means. |
| format | Article |
| id | doaj-art-50f6acf4c0794785bccfccf9c29c6e38 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-50f6acf4c0794785bccfccf9c29c6e382025-08-20T03:36:17ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/706518706518The Schur-Convexity of the Generalized Muirhead-Heronian MeansYong-Ping Deng0Shan-He Wu1Yu-Ming Chu2Deng He3Department of Mathematics and Computer Science, Longyan University, Longyan, Fujian 364012, ChinaDepartment of Mathematics and Computer Science, Longyan University, Longyan, Fujian 364012, ChinaSchool of Mathematics and Computation Science, Hunan City University, Yiyang, Hunan 413000, ChinaGangtou Middle School, Fuqing, Fujian 350317, ChinaWe give a unified generalization of the generalized Muirhead means and the generalized Heronian means involving three parameters. The Schur-convexity of the generalized Muirhead-Heronian means is investigated. Our main result implies the sufficient conditions of the Schur-convexity of the generalized Heronian means and the generalized Muirhead means.http://dx.doi.org/10.1155/2014/706518 |
| spellingShingle | Yong-Ping Deng Shan-He Wu Yu-Ming Chu Deng He The Schur-Convexity of the Generalized Muirhead-Heronian Means Abstract and Applied Analysis |
| title | The Schur-Convexity of the Generalized Muirhead-Heronian Means |
| title_full | The Schur-Convexity of the Generalized Muirhead-Heronian Means |
| title_fullStr | The Schur-Convexity of the Generalized Muirhead-Heronian Means |
| title_full_unstemmed | The Schur-Convexity of the Generalized Muirhead-Heronian Means |
| title_short | The Schur-Convexity of the Generalized Muirhead-Heronian Means |
| title_sort | schur convexity of the generalized muirhead heronian means |
| url | http://dx.doi.org/10.1155/2014/706518 |
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