The power mean and the logarithmic mean
In a very interesting and recent note, Tung-Po Lin [1] obtained the least value q and the greatest value p such that Mp<L<Mqis valid for all distinct positive numbers x and y where Ms=(xs+ys2)1s and L=x−yIn x-In y
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| Format: | Article |
| Language: | English |
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Wiley
1982-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171282000313 |
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| _version_ | 1832549121534197760 |
|---|---|
| author | Christopher Olutunde Imoru |
| author_facet | Christopher Olutunde Imoru |
| author_sort | Christopher Olutunde Imoru |
| collection | DOAJ |
| description | In a very interesting and recent note, Tung-Po Lin [1] obtained the least value q and the greatest value p such that Mp<L<Mqis valid for all distinct positive numbers x and y where Ms=(xs+ys2)1s and L=x−yIn x-In y |
| format | Article |
| id | doaj-art-bb6ef35444534224b2a2c9ab3db3d434 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1982-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-bb6ef35444534224b2a2c9ab3db3d4342025-02-03T06:12:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251982-01-015233734310.1155/S0161171282000313The power mean and the logarithmic meanChristopher Olutunde Imoru0Department of Mathematics, University of Ife, Ile-Ife, Oyo State, NigeriaIn a very interesting and recent note, Tung-Po Lin [1] obtained the least value q and the greatest value p such that Mp<L<Mqis valid for all distinct positive numbers x and y where Ms=(xs+ys2)1s and L=x−yIn x-In yhttp://dx.doi.org/10.1155/S0161171282000313concave functionsspace of Lebesque μ-integrable functions. |
| spellingShingle | Christopher Olutunde Imoru The power mean and the logarithmic mean International Journal of Mathematics and Mathematical Sciences concave functions space of Lebesque μ-integrable functions. |
| title | The power mean and the logarithmic mean |
| title_full | The power mean and the logarithmic mean |
| title_fullStr | The power mean and the logarithmic mean |
| title_full_unstemmed | The power mean and the logarithmic mean |
| title_short | The power mean and the logarithmic mean |
| title_sort | power mean and the logarithmic mean |
| topic | concave functions space of Lebesque μ-integrable functions. |
| url | http://dx.doi.org/10.1155/S0161171282000313 |
| work_keys_str_mv | AT christopherolutundeimoru thepowermeanandthelogarithmicmean AT christopherolutundeimoru powermeanandthelogarithmicmean |