Convergence of p-series revisited with applications
We construct two adjacent sequences that converge to the sum of a given convergent p-series. In case of a divergent p-series, lower and upper bounds of the (kn)th partial sum are constructed. In either case, we extend the results obtained by Hansheng and Lu (2005) to any integer k≥2. Some numerical...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/53408 |
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| _version_ | 1832563410657607680 |
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| author | Elom K. Abalo Kokou Y. Abalo |
| author_facet | Elom K. Abalo Kokou Y. Abalo |
| author_sort | Elom K. Abalo |
| collection | DOAJ |
| description | We construct two adjacent sequences that converge to the sum of a given convergent p-series. In case of a divergent p-series, lower and upper bounds of the (kn)th partial sum are constructed. In either case, we extend the results obtained by Hansheng and Lu (2005) to any integer k≥2. Some numerical examples are given. |
| format | Article |
| id | doaj-art-1dc57dc040ca4cf0ac081a563ef1531a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1dc57dc040ca4cf0ac081a563ef1531a2025-02-03T01:20:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/5340853408Convergence of p-series revisited with applicationsElom K. Abalo0Kokou Y. Abalo1Departments of Physics; Departments of Mathematics, Wofford College, Spartanburg 29303, SC, USADepartment of Mathematics, Erskine College, Due West 29639, SC, USAWe construct two adjacent sequences that converge to the sum of a given convergent p-series. In case of a divergent p-series, lower and upper bounds of the (kn)th partial sum are constructed. In either case, we extend the results obtained by Hansheng and Lu (2005) to any integer k≥2. Some numerical examples are given.http://dx.doi.org/10.1155/IJMMS/2006/53408 |
| spellingShingle | Elom K. Abalo Kokou Y. Abalo Convergence of p-series revisited with applications International Journal of Mathematics and Mathematical Sciences |
| title | Convergence of p-series revisited with applications |
| title_full | Convergence of p-series revisited with applications |
| title_fullStr | Convergence of p-series revisited with applications |
| title_full_unstemmed | Convergence of p-series revisited with applications |
| title_short | Convergence of p-series revisited with applications |
| title_sort | convergence of p series revisited with applications |
| url | http://dx.doi.org/10.1155/IJMMS/2006/53408 |
| work_keys_str_mv | AT elomkabalo convergenceofpseriesrevisitedwithapplications AT kokouyabalo convergenceofpseriesrevisitedwithapplications |