On a theorem of W. Meyer-König and H. Tietz
Let (un) be a sequence of real numbers and let L be an additive limitable method with some property. We prove that if the classical control modulo of the oscillatory behavior of (un) belonging to some class of sequences is a Tauberian condition for L, then convergence or subsequential convergence of...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2491 |
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| _version_ | 1832559886860288000 |
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| author | İBrahım Çanak Mehmet Dık Fılız Dık |
| author_facet | İBrahım Çanak Mehmet Dık Fılız Dık |
| author_sort | İBrahım Çanak |
| collection | DOAJ |
| description | Let (un) be a sequence of real numbers and let L be an additive limitable method with some property. We prove that if the classical control modulo of the oscillatory behavior of (un) belonging to some class of sequences is a Tauberian condition for L, then convergence or subsequential convergence of (un) out of L is recovered depending on the conditions on the general control modulo of the oscillatory behavior of different order. |
| format | Article |
| id | doaj-art-326d4d2e9b8f4d1794b00d8d95f19cc4 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-326d4d2e9b8f4d1794b00d8d95f19cc42025-02-03T01:29:00ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005152491249610.1155/IJMMS.2005.2491On a theorem of W. Meyer-König and H. TietzİBrahım Çanak0Mehmet Dık1Fılız Dık2Department of Mathematics, Faculty of Arts and Sciences, Adnan Menderes University, Aydin 09010, TurkeyDepartment of Mathematics, Rockford College, 5050 E. State Street, Rockford, IL 61108, USADepartment of Mathematics and Computer Science, Edgewood College, 1000 Edgewood College Drive, Madison, WI 53711, USALet (un) be a sequence of real numbers and let L be an additive limitable method with some property. We prove that if the classical control modulo of the oscillatory behavior of (un) belonging to some class of sequences is a Tauberian condition for L, then convergence or subsequential convergence of (un) out of L is recovered depending on the conditions on the general control modulo of the oscillatory behavior of different order.http://dx.doi.org/10.1155/IJMMS.2005.2491 |
| spellingShingle | İBrahım Çanak Mehmet Dık Fılız Dık On a theorem of W. Meyer-König and H. Tietz International Journal of Mathematics and Mathematical Sciences |
| title | On a theorem of W. Meyer-König and H. Tietz |
| title_full | On a theorem of W. Meyer-König and H. Tietz |
| title_fullStr | On a theorem of W. Meyer-König and H. Tietz |
| title_full_unstemmed | On a theorem of W. Meyer-König and H. Tietz |
| title_short | On a theorem of W. Meyer-König and H. Tietz |
| title_sort | on a theorem of w meyer konig and h tietz |
| url | http://dx.doi.org/10.1155/IJMMS.2005.2491 |
| work_keys_str_mv | AT ibrahımcanak onatheoremofwmeyerkonigandhtietz AT mehmetdık onatheoremofwmeyerkonigandhtietz AT fılızdık onatheoremofwmeyerkonigandhtietz |