| Carleman不等式的加强及加强式的自动发现 |
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| 引用本文： | 何灯,王少光.Carleman不等式的加强及加强式的自动发现[J].汕头大学学报(自然科学版),2011,26(4):35-45. |
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| 作者姓名： | 何灯 王少光 |
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| 作者单位： | 1. 福建省福清港头中学,福建福清,350317
2. 福建省福清东张中学,福建福清,350305 |
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| 摘 要： | 运用最值单调定理及maple数学软件,对有限项Carleman不等式进行非严格化,建立了无限项Carleman不等式一个新的加强式,根据其证明规律,编写程序cdiscover,实现了此类Carleman不等式加强式的自动发现.
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| 关 键 词： | Carleman不等式 最值单调定理 Stirling公式 自动发现 |
Enhanced Carleman Inequality and Its Automatic Finding |
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| HE Deng,WANG Shao-guang.Enhanced Carleman Inequality and Its Automatic Finding[J].Journal of Shantou University(Natural Science Edition),2011,26(4):35-45. |
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| Authors: | HE Deng WANG Shao-guang |
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| Institution: | HE Deng1,WANG Shao-guang2(1.Guangtou Middle School,Fuqing 350317,Fujian,China,2.Dongzang Middle School,Fuqing 350305,China) |
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| Abstract: | Limited-term Carleman inequality is made non-rigid and an enhanced infiniteterm Carleman inequality is constructed by using the monotonic maximization theorem and maple software. Computer programs of cdiscover are written to automatically find this class of enhanced Carleman inequalities. |
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| Keywords: | Carleman inequality monotonic maximization theorem Stirling equation automatic finding |
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