On relation between the power mean and the logarithmic mean
碩士 === 淡江大學 === 數學學系碩士班 === 94 === If x , y are distinct positive numbers, then Mp= Mp (x , y) is called the power mean of x and y . L = L (x , y) is called the Logarithmic mean of x and y . Chang[2]has proved that : If L < Mq holds for some q such that q<1/3 ，as well as Mp < L holds for...
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2004
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| Online Access: | http://ndltd.ncl.edu.tw/handle/77822405531767593642 |
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ndltd-TW-094TKU054790042016-06-01T04:14:22Z http://ndltd.ncl.edu.tw/handle/77822405531767593642 On relation between the power mean and the logarithmic mean 有關冪級數及對數級數之間的關係研究 Hsuan-Chen Lee 李玄楨 碩士 淡江大學 數學學系碩士班 94 If x , y are distinct positive numbers, then Mp= Mp (x , y) is called the power mean of x and y . L = L (x , y) is called the Logarithmic mean of x and y . Chang[2]has proved that : If L < Mq holds for some q such that q<1/3 ，as well as Mp < L holds for some p such that p>0 under certain restrictions on x and y 。. We shall prove that L < Mq holds for some q such that q <1/6 , as well as L > Mp holds for some p such that p > 0 under certain restrictions on x and y . Gou-sheng Yang 楊國勝 2004 學位論文 ; thesis 48 zh-TW |
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NDLTD |
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zh-TW |
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Others
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NDLTD |
| description |
碩士 === 淡江大學 === 數學學系碩士班 === 94 === If x , y are distinct positive numbers, then
Mp= Mp (x , y)
is called the power mean of x and y .
L = L (x , y)
is called the Logarithmic mean of x and y .
Chang[2]has proved that :
If L < Mq holds for some q such that q<1/3 ，as well as Mp < L holds for some p such that p>0 under certain restrictions on x and y 。.
We shall prove that L < Mq holds for some q such that q <1/6 , as well as L > Mp holds for some p such that p > 0 under certain restrictions on x and y .
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| author2 |
Gou-sheng Yang |
| author_facet |
Gou-sheng Yang Hsuan-Chen Lee 李玄楨 |
| author |
Hsuan-Chen Lee 李玄楨 |
| spellingShingle |
Hsuan-Chen Lee 李玄楨 On relation between the power mean and the logarithmic mean |
| author_sort |
Hsuan-Chen Lee |
| title |
On relation between the power mean and the logarithmic mean |
| title_short |
On relation between the power mean and the logarithmic mean |
| title_full |
On relation between the power mean and the logarithmic mean |
| title_fullStr |
On relation between the power mean and the logarithmic mean |
| title_full_unstemmed |
On relation between the power mean and the logarithmic mean |
| title_sort |
on relation between the power mean and the logarithmic mean |
| publishDate |
2004 |
| url |
http://ndltd.ncl.edu.tw/handle/77822405531767593642 |
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