Some Monotonicity Results for the Ratio of Two-Parameter Symmetric Homogeneous Functions
Applying well properties of homogeneous functions, some monotonicity results for the ratio of two-parameter symmetric homogeneous functions are presented, which give an easier access to find two-parameter symmetric homogeneous means having ratio simple monotonicity properties proposed by L. Losonczi...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2009/591382 |
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| _version_ | 1849399288068571136 |
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| author | Zhen-Hang Yang |
| author_facet | Zhen-Hang Yang |
| author_sort | Zhen-Hang Yang |
| collection | DOAJ |
| description | Applying well properties of homogeneous functions,
some monotonicity results for the ratio of two-parameter symmetric homogeneous functions are presented, which give an easier access to find two-parameter symmetric homogeneous means having ratio simple monotonicity properties proposed by L. Losonczi. As an application, a chain of inequalities of ratio of bivariate means is established. |
| format | Article |
| id | doaj-art-9c0cb5c156ed4cb48afd8efe94813601 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9c0cb5c156ed4cb48afd8efe948136012025-08-20T03:38:22ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/591382591382Some Monotonicity Results for the Ratio of Two-Parameter Symmetric Homogeneous FunctionsZhen-Hang Yang0Electric Grid Planning and Research Center, Zhejiang Province Electric Power Test and Research Institute, Hangzhou, Zhejiang 310014, ChinaApplying well properties of homogeneous functions, some monotonicity results for the ratio of two-parameter symmetric homogeneous functions are presented, which give an easier access to find two-parameter symmetric homogeneous means having ratio simple monotonicity properties proposed by L. Losonczi. As an application, a chain of inequalities of ratio of bivariate means is established.http://dx.doi.org/10.1155/2009/591382 |
| spellingShingle | Zhen-Hang Yang Some Monotonicity Results for the Ratio of Two-Parameter Symmetric Homogeneous Functions International Journal of Mathematics and Mathematical Sciences |
| title | Some Monotonicity Results for the Ratio of Two-Parameter Symmetric Homogeneous Functions |
| title_full | Some Monotonicity Results for the Ratio of Two-Parameter Symmetric Homogeneous Functions |
| title_fullStr | Some Monotonicity Results for the Ratio of Two-Parameter Symmetric Homogeneous Functions |
| title_full_unstemmed | Some Monotonicity Results for the Ratio of Two-Parameter Symmetric Homogeneous Functions |
| title_short | Some Monotonicity Results for the Ratio of Two-Parameter Symmetric Homogeneous Functions |
| title_sort | some monotonicity results for the ratio of two parameter symmetric homogeneous functions |
| url | http://dx.doi.org/10.1155/2009/591382 |
| work_keys_str_mv | AT zhenhangyang somemonotonicityresultsfortheratiooftwoparametersymmetrichomogeneousfunctions |