ON A GENERALIZED GAUSS CONVERGENCE CRITERION
In this paper we combine the well known Raabe-Duhamel, Kummer, Bertrand . . . criterions of convergence for series with positive terms and we obtain a new one which is more powerful than those cited before. Even the famous Gauss criterion,which was in fact our starting point, is a consequence of th...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Conspress
2015-07-01
|
| Series: | Romanian Journal of Mathematics and Computer Science |
| Subjects: | |
| Online Access: | http://www.rjm-cs.ro/Bucur-1-2015 |
| _version_ | 1818897173931098112 |
|---|---|
| author | ILEANA BUCUR |
| author_facet | ILEANA BUCUR |
| author_sort | ILEANA BUCUR |
| collection | DOAJ |
| description | In this paper we combine the well known Raabe-Duhamel, Kummer,
Bertrand . . . criterions of convergence for series with positive terms and we obtain a new one which is more powerful than those cited before. Even the famous Gauss criterion,which was in fact our starting point, is a consequence of this new convergence test. |
| first_indexed | 2024-12-19T19:11:58Z |
| format | Article |
| id | doaj.art-53c505ddac1b41d38fdc392759c2d156 |
| institution | Directory Open Access Journal |
| issn | 2247-689X |
| language | English |
| last_indexed | 2024-12-19T19:11:58Z |
| publishDate | 2015-07-01 |
| publisher | Conspress |
| record_format | Article |
| series | Romanian Journal of Mathematics and Computer Science |
| spelling | doaj.art-53c505ddac1b41d38fdc392759c2d1562022-12-21T20:09:15ZengConspressRomanian Journal of Mathematics and Computer Science2247-689X2015-07-01517683ON A GENERALIZED GAUSS CONVERGENCE CRITERIONILEANA BUCUR0Department of Mathematics and Computer Science, Technical University of Civil Engineering Bucharest, Bucharest, Romania, e-mail: bucurileana@yahoo.comIn this paper we combine the well known Raabe-Duhamel, Kummer, Bertrand . . . criterions of convergence for series with positive terms and we obtain a new one which is more powerful than those cited before. Even the famous Gauss criterion,which was in fact our starting point, is a consequence of this new convergence test.http://www.rjm-cs.ro/Bucur-1-2015seriesGauss convergence criterion |
| spellingShingle | ILEANA BUCUR ON A GENERALIZED GAUSS CONVERGENCE CRITERION Romanian Journal of Mathematics and Computer Science series Gauss convergence criterion |
| title | ON A GENERALIZED GAUSS CONVERGENCE CRITERION |
| title_full | ON A GENERALIZED GAUSS CONVERGENCE CRITERION |
| title_fullStr | ON A GENERALIZED GAUSS CONVERGENCE CRITERION |
| title_full_unstemmed | ON A GENERALIZED GAUSS CONVERGENCE CRITERION |
| title_short | ON A GENERALIZED GAUSS CONVERGENCE CRITERION |
| title_sort | on a generalized gauss convergence criterion |
| topic | series Gauss convergence criterion |
| url | http://www.rjm-cs.ro/Bucur-1-2015 |
| work_keys_str_mv | AT ileanabucur onageneralizedgaussconvergencecriterion |