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 |
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doaj-fa6777e577ff4c2683d0dc532e9c53712020-11-24T20:48:15ZengSpringerOpenJournal 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zhen-Hang Yang |
| spellingShingle |
Zhen-Hang Yang On the Monotonicity and Log-Convexity of a Four-Parameter Homogeneous Mean Journal of Inequalities and Applications |
| author_facet |
Zhen-Hang Yang |
| author_sort |
Zhen-Hang Yang |
| title |
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_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_sort |
on the monotonicity and log-convexity of a four-parameter homogeneous mean |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2008-09-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2008/149286 |
| work_keys_str_mv |
AT zhenhangyang onthemonotonicityandlogconvexityofafourparameterhomogeneousmean |
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1716808440019419136 |