Schur convexity properties of the weighted arithmetic integral mean and Chebyshev functional
In this paper, we discuss the Schur convexity, Schur geometrical convexity and Schur harmonic convexity of the weighted arithmetic integral mean and Chebyshev functional. Several sufficient conditions, and necessary and sufficient conditions are established.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2013-02-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/983 |
| _version_ | 1818006765072023552 |
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| author | Long Bo-Yong Jiang Yue-Ping Chu Yu-Ming |
| author_facet | Long Bo-Yong Jiang Yue-Ping Chu Yu-Ming |
| author_sort | Long Bo-Yong |
| collection | DOAJ |
| description | In this paper, we discuss the Schur convexity, Schur geometrical convexity and Schur harmonic convexity of the weighted arithmetic integral mean and Chebyshev functional. Several sufficient conditions, and necessary and sufficient conditions are established. |
| first_indexed | 2024-04-14T05:05:41Z |
| format | Article |
| id | doaj.art-b8edb603b37e4b5b80d05218b7bc7166 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-14T05:05:41Z |
| publishDate | 2013-02-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-b8edb603b37e4b5b80d05218b7bc71662022-12-22T02:10:41ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2013-02-01421Schur convexity properties of the weighted arithmetic integral mean and Chebyshev functionalLong Bo-Yong0Jiang Yue-Ping1Chu Yu-Ming2Anhui UniversityHunan UniversityHuzhou Teachers CollegeIn this paper, we discuss the Schur convexity, Schur geometrical convexity and Schur harmonic convexity of the weighted arithmetic integral mean and Chebyshev functional. Several sufficient conditions, and necessary and sufficient conditions are established.https://ictp.acad.ro/jnaat/journal/article/view/983weighted arithmetic integral meanweighted Chebyshev functionalSchur convexSchur geometrically convexSchur harmonic convex |
| spellingShingle | Long Bo-Yong Jiang Yue-Ping Chu Yu-Ming Schur convexity properties of the weighted arithmetic integral mean and Chebyshev functional Journal of Numerical Analysis and Approximation Theory weighted arithmetic integral mean weighted Chebyshev functional Schur convex Schur geometrically convex Schur harmonic convex |
| title | Schur convexity properties of the weighted arithmetic integral mean and Chebyshev functional |
| title_full | Schur convexity properties of the weighted arithmetic integral mean and Chebyshev functional |
| title_fullStr | Schur convexity properties of the weighted arithmetic integral mean and Chebyshev functional |
| title_full_unstemmed | Schur convexity properties of the weighted arithmetic integral mean and Chebyshev functional |
| title_short | Schur convexity properties of the weighted arithmetic integral mean and Chebyshev functional |
| title_sort | schur convexity properties of the weighted arithmetic integral mean and chebyshev functional |
| topic | weighted arithmetic integral mean weighted Chebyshev functional Schur convex Schur geometrically convex Schur harmonic convex |
| url | https://ictp.acad.ro/jnaat/journal/article/view/983 |
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