On the Monotonicity and Log-Convexity of a Four-Parameter Homogeneous Mean
A four-parameter homogeneous mean ðÂÂÂ…(p,q;r,s;a,b) is defined by another approach. The criterion of its monotonicity and logarithmically convexity is presented, and three refined chains of inequalities for two-parameter mean values are deduced which contain many new and classical inequalities for...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2008-09-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/149286 |
| _version_ | 1818518951358889984 |
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| author | Zhen-Hang Yang |
| author_facet | Zhen-Hang Yang |
| author_sort | Zhen-Hang Yang |
| collection | DOAJ |
| description | A four-parameter homogeneous mean ðÂÂÂ…(p,q;r,s;a,b) is defined by another approach. The criterion of its monotonicity and logarithmically convexity is presented, and three refined chains of inequalities for two-parameter mean values are deduced which contain many new and classical inequalities for means. |
| first_indexed | 2024-12-11T01:17:16Z |
| format | Article |
| id | doaj.art-fa6777e577ff4c2683d0dc532e9c5371 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-11T01:17:16Z |
| publishDate | 2008-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-fa6777e577ff4c2683d0dc532e9c53712022-12-22T01:25:50ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2008-09-01200810.1155/2008/149286On the Monotonicity and Log-Convexity of a Four-Parameter Homogeneous MeanZhen-Hang YangA four-parameter homogeneous mean ðÂÂÂ…(p,q;r,s;a,b) is defined by another approach. The criterion of its monotonicity and logarithmically convexity is presented, and three refined chains of inequalities for two-parameter mean values are deduced which contain many new and classical inequalities for means.http://dx.doi.org/10.1155/2008/149286 |
| spellingShingle | Zhen-Hang Yang On the Monotonicity and Log-Convexity of a Four-Parameter Homogeneous Mean Journal of Inequalities and Applications |
| title | On the Monotonicity and Log-Convexity of a Four-Parameter Homogeneous Mean |
| title_full | On the Monotonicity and Log-Convexity of a Four-Parameter Homogeneous Mean |
| title_fullStr | On the Monotonicity and Log-Convexity of a Four-Parameter Homogeneous Mean |
| title_full_unstemmed | On the Monotonicity and Log-Convexity of a Four-Parameter Homogeneous Mean |
| title_short | On the Monotonicity and Log-Convexity of a Four-Parameter Homogeneous Mean |
| title_sort | on the monotonicity and log convexity of a four parameter homogeneous mean |
| url | http://dx.doi.org/10.1155/2008/149286 |
| work_keys_str_mv | AT zhenhangyang onthemonotonicityandlogconvexityofafourparameterhomogeneousmean |