|
|||||
|
|
| 级数的常规可和，Cesàro可和与Abel可和的几点讨论 | |
| 引用本文： | 张立柱. 级数的常规可和，Cesàro可和与Abel可和的几点讨论[J]. 纯粹数学与应用数学, 2013, 0(6): 565-571 |
| 作者姓名： | 张立柱 |
| 作者单位： | 上海财经大学应用数学系,上海,200433 |
| 基金项目： | 国家自然科学基金（11201284）. |
| 摘 要： | 讨论级数常规可和、Cesaro可和与Abel可和的关系．利用数学分析级数理论，证明Abel可和适用范围最广，Cesaro可和其次，级数常规可和适用范围最小．这个结论丰富了经典级数理论，为实际应用中选用合适可和提供依据． |
| 关 键 词： | 级数常规可和 Cesàro可和 Abel可和 |
Some notes on series standard summability,Ceshro summability and Abel summability |
|
| Zhang Lizhu. Some notes on series standard summability,Ceshro summability and Abel summability[J]. Pure and Applied Mathematics, 2013, 0(6): 565-571 | |
| Authors: | Zhang Lizhu |
| Affiliation: | Zhang Lizhu (Department of Applied Mathematics, Shanghai University of Finance and Economics Shanghai 200433, China) |
| Abstract: | The relationship among series standard summability, Cesaro summability and Abel summability is studied in this paper. By using series theory in mathematical analysis, it is proved that Abel summability is the strongest, and Cesaro summability is stronger than the standard summability. The conclusion enriches the classic series theory, and provides theory basis for choosing suitable summability in practical applications. |
| Keywords: | series standard summability Cesaro summability Abel summability |
| 本文献已被 维普 万方数据 等数据库收录！ | |