The Monotonicity Results for the Ratio of Certain Mixed Means and Their Applications
We continue to adopt notations and methods used in the papers illustrated by Yang (2009, 2010) to investigate the monotonicity properties of the ratio of mixed two-parameter homogeneous means. As consequences of our results, the monotonicity properties of four ratios of mixed Stolarsky means are pre...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/540710 |
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| _version_ | 1832547270555336704 |
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| author | Zhen-Hang Yang |
| author_facet | Zhen-Hang Yang |
| author_sort | Zhen-Hang Yang |
| collection | DOAJ |
| description | We continue to adopt notations and methods used
in the papers illustrated by Yang (2009, 2010) to investigate the monotonicity properties of the ratio of
mixed two-parameter homogeneous means. As consequences of our results, the
monotonicity properties of four ratios of mixed Stolarsky means are presented,
which generalize certain known results, and some known and new inequalities
of ratios of means are established. |
| format | Article |
| id | doaj-art-172364de83a74bfb9622c56d7e4ae6f1 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-172364de83a74bfb9622c56d7e4ae6f12025-02-03T06:45:20ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/540710540710The Monotonicity Results for the Ratio of Certain Mixed Means and Their ApplicationsZhen-Hang Yang0Power Supply Service Center, Zhejiang Electric Power Company, Electric Power Research Institute, Hangzhou 310014, ChinaWe continue to adopt notations and methods used in the papers illustrated by Yang (2009, 2010) to investigate the monotonicity properties of the ratio of mixed two-parameter homogeneous means. As consequences of our results, the monotonicity properties of four ratios of mixed Stolarsky means are presented, which generalize certain known results, and some known and new inequalities of ratios of means are established.http://dx.doi.org/10.1155/2012/540710 |
| spellingShingle | Zhen-Hang Yang The Monotonicity Results for the Ratio of Certain Mixed Means and Their Applications International Journal of Mathematics and Mathematical Sciences |
| title | The Monotonicity Results for the Ratio of Certain Mixed Means and Their Applications |
| title_full | The Monotonicity Results for the Ratio of Certain Mixed Means and Their Applications |
| title_fullStr | The Monotonicity Results for the Ratio of Certain Mixed Means and Their Applications |
| title_full_unstemmed | The Monotonicity Results for the Ratio of Certain Mixed Means and Their Applications |
| title_short | The Monotonicity Results for the Ratio of Certain Mixed Means and Their Applications |
| title_sort | monotonicity results for the ratio of certain mixed means and their applications |
| url | http://dx.doi.org/10.1155/2012/540710 |
| work_keys_str_mv | AT zhenhangyang themonotonicityresultsfortheratioofcertainmixedmeansandtheirapplications AT zhenhangyang monotonicityresultsfortheratioofcertainmixedmeansandtheirapplications |