On some inequalities for convex functions
碩士 === 淡江大學 === 數學學系碩士班 === 103 === If f，g：[a,b]→[0,∞) are convex functions on [a,b],Pachpatte proved the following:1/(b-a)((∫_a^b)f(x)g(x)dx))≤1/3M(a,b)+1/6N(a,b),where M(a,b)=f(a)g(a)+f(b)g(b) and N(a,b)=f(a)g(b)+f(b)g(a).We give in this paper several refinements of the above inequality....
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2015
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ndltd-TW-103TKU054790052016-08-12T04:14:30Z http://ndltd.ncl.edu.tw/handle/78471168932073170523 On some inequalities for convex functions 一些凸函數的不等式的研究 Kun-Yu Lin 林琨諭 碩士 淡江大學 數學學系碩士班 103 If f，g：[a,b]→[0,∞) are convex functions on [a,b],Pachpatte proved the following:1/(b-a)((∫_a^b)f(x)g(x)dx))≤1/3M(a,b)+1/6N(a,b),where M(a,b)=f(a)g(a)+f(b)g(b) and N(a,b)=f(a)g(b)+f(b)g(a).We give in this paper several refinements of the above inequality. 楊國勝 2015 學位論文 ; thesis 28 zh-TW |
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NDLTD |
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zh-TW |
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Others
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碩士 === 淡江大學 === 數學學系碩士班 === 103 === If f，g：[a,b]→[0,∞) are convex functions on [a,b],Pachpatte proved the following:1/(b-a)((∫_a^b)f(x)g(x)dx))≤1/3M(a,b)+1/6N(a,b),where M(a,b)=f(a)g(a)+f(b)g(b) and N(a,b)=f(a)g(b)+f(b)g(a).We give in this paper several refinements of the above inequality.
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| author2 |
楊國勝 |
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楊國勝 Kun-Yu Lin 林琨諭 |
| author |
Kun-Yu Lin 林琨諭 |
| spellingShingle |
Kun-Yu Lin 林琨諭 On some inequalities for convex functions |
| author_sort |
Kun-Yu Lin |
| title |
On some inequalities for convex functions |
| title_short |
On some inequalities for convex functions |
| title_full |
On some inequalities for convex functions |
| title_fullStr |
On some inequalities for convex functions |
| title_full_unstemmed |
On some inequalities for convex functions |
| title_sort |
on some inequalities for convex functions |
| publishDate |
2015 |
| url |
http://ndltd.ncl.edu.tw/handle/78471168932073170523 |
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AT kunyulin onsomeinequalitiesforconvexfunctions AT línkūnyù onsomeinequalitiesforconvexfunctions AT kunyulin yīxiētūhánshùdebùděngshìdeyánjiū AT línkūnyù yīxiētūhánshùdebùděngshìdeyánjiū |
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