| Carleman不等式的下界改进及改进式的自动发现 |
| |
| 引用本文： | 何灯,王少光.Carleman不等式的下界改进及改进式的自动发现[J].汕头大学学报(自然科学版),2012,27(1):27-34,41. |
| |
| 作者姓名： | 何灯 王少光 |
| |
| 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 |
| |
| 摘 要： | 对有限项Carleman不等式进行非严格化,建立了无限项Carleman不等式下界的一个改进,根据其证明规律,编写程序cdiscover2,实现了此类Carleman不等式下界改进式的自动发现.
|
| 关 键 词： | Carleman不等式 最值单调定理 Stirling公式 自动发现 |
Improvements on Lower Bound of Carleman Inequalities and Automatic Finding of Enhanced Carleman Inequalities |
| |
| HE Deng,WANG Shao-guang.Improvements on Lower Bound of Carleman Inequalities and Automatic Finding of Enhanced Carleman Inequalities[J].Journal of Shantou University(Natural Science Edition),2012,27(1):27-34,41. |
| |
| Authors: | HE Deng WANG Shao-guang |
| |
| Institution: | (Gangtou Middle School, Fuqing 350317, Fujian, China) |
| |
| Abstract: | Finite-term Carleman inequalities are made non-rigid and an improvement is made on lower bound of enhanced infinite-term Carleman inequalities. A computer program, cdiscover2, is written to automatically find lower bounds of the class of enhanced Carleman inequalities. |
| |
| Keywords: | Carleman inequality monotonic maximization theorem Stirling equation automatic finding |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
