| Buniakowski-Cauchy积分不等式的新推广 |
| |
| 引用本文： | 罗俊丽.Buniakowski-Cauchy积分不等式的新推广[J].重庆工商大学学报(自然科学版),2005,22(6):623-624. |
| |
| 作者姓名： | 罗俊丽 |
| |
| 作者单位： | 商洛师范专科学校,数学系,陕西,商洛,726000 |
| |
| 基金项目： | 全国教育科学“十五”规划重点课题（EHA030431）. |
| |
| 摘 要： | 在研究Buniakowski—Cauchy积分不等式的基础上，给出了其新的积分不等式的推广式，并用构造性方法予以证明．考察了离散型Cauchy不等式，认为只要将所得到的Buniakowski—Cauchy新推广积分不等式作某种特殊赋值，就能够进一步得到离散型Cauchy不等式的新的积分型推广式，从而体现它们之间的内在联系．
|
| 关 键 词： | Buniakowski—Cauchy积分不等式 新的积分不等式 |
| 文章编号： | 1672-058X（2005）06-0623-02 |
| 收稿时间： | 2005-09-15 |
| 修稿时间： | 2005-09-152005-10-15 |
New popularization and application of Buniakowski-Cauchy integral inequality |
| |
| LUO Jun- li.New popularization and application of Buniakowski-Cauchy integral inequality[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2005,22(6):623-624. |
| |
| Authors: | LUO Jun- li |
| |
| Institution: | Department of Mathematics, Shangluo Teachers College, Shaanxi Shangluo 726000 ,China |
| |
| Abstract: | On the basis of studying Buniakowski - Cauchy integral inequality , this paper provides the popularization type of its new integral inequality, and proves with the constructivity method, then has analysed and discussed dispersed Cauchy inequality in reference 5 ] again, holds that as long as a certain special assignment integral inequality that Buniakowski - Cauchy popularize newly is got, the new integral popularizing type of dispersed Cauchy inequalityis further got , Thus be the inner link between them be. |
| |
| Keywords: | Buniakowski -Cauchy integral inequality new integral inequality |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《重庆工商大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《重庆工商大学学报(自然科学版)》下载免费的PDF全文 |
