Schur-Convexity of Averages of Convex Functions
<p/> <p>The object is to give an overview of the study of Schur-convexity of various means and functions and to contribute to the subject with some new results. First, Schur-convexity of the generalized integral and weighted integral quasiarithmetic mean is studied. Relation to some alre...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2011-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2011/581918 |
| _version_ | 1818575101830889472 |
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| author | Franjić Iva Pečarić Josip Ghulam Roqia Čuljak Vera |
| author_facet | Franjić Iva Pečarić Josip Ghulam Roqia Čuljak Vera |
| author_sort | Franjić Iva |
| collection | DOAJ |
| description | <p/> <p>The object is to give an overview of the study of Schur-convexity of various means and functions and to contribute to the subject with some new results. First, Schur-convexity of the generalized integral and weighted integral quasiarithmetic mean is studied. Relation to some already published results is established, and some applications of the extended result are given. Furthermore, Schur-convexity of functions connected to the Hermite-Hadamard inequality is investigated. Finally, some results on convexity and Schur-convexity involving divided difference are considered.</p> |
| first_indexed | 2024-12-15T00:35:47Z |
| format | Article |
| id | doaj.art-59d6422801b3473883215e4ecef7b469 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-15T00:35:47Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-59d6422801b3473883215e4ecef7b4692022-12-21T22:41:48ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2011-01-0120111581918Schur-Convexity of Averages of Convex FunctionsFranjić IvaPečarić JosipGhulam RoqiaČuljak Vera<p/> <p>The object is to give an overview of the study of Schur-convexity of various means and functions and to contribute to the subject with some new results. First, Schur-convexity of the generalized integral and weighted integral quasiarithmetic mean is studied. Relation to some already published results is established, and some applications of the extended result are given. Furthermore, Schur-convexity of functions connected to the Hermite-Hadamard inequality is investigated. Finally, some results on convexity and Schur-convexity involving divided difference are considered.</p>http://www.journalofinequalitiesandapplications.com/content/2011/581918 |
| spellingShingle | Franjić Iva Pečarić Josip Ghulam Roqia Čuljak Vera Schur-Convexity of Averages of Convex Functions Journal of Inequalities and Applications |
| title | Schur-Convexity of Averages of Convex Functions |
| title_full | Schur-Convexity of Averages of Convex Functions |
| title_fullStr | Schur-Convexity of Averages of Convex Functions |
| title_full_unstemmed | Schur-Convexity of Averages of Convex Functions |
| title_short | Schur-Convexity of Averages of Convex Functions |
| title_sort | schur convexity of averages of convex functions |
| url | http://www.journalofinequalitiesandapplications.com/content/2011/581918 |
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