Euclidean Space Cauchy Condensation Test for Series of Sets Under Hausdorff Distance
碩士 === 中原大學 === 應用數學研究所 === 100 === To discussing the series convergence the course of analysis is important, so that the mainly research in this paper is Cauchy condensation test. And Cauchy condensation test under smoe conditions, the convergence of series is consistent as the convergence of subse...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2012
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| Online Access: | http://ndltd.ncl.edu.tw/handle/36260299033328501919 |
| Summary: | 碩士 === 中原大學 === 應用數學研究所 === 100 === To discussing the series convergence the course of analysis is important, so that the mainly research in this paper is Cauchy condensation test. And Cauchy condensation test under smoe conditions, the convergence of series is consistent as the convergence of subseries. We are also extend it to the Euclidean space for series of sets, and under the Hausdorff distance will have an one-dimension with the same result, and we also provide an example, that the alternating series test can not be extended.
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