Tauberian conditions for a general limitable method
Let (un) be a sequence of real numbers, L an additive limitable method with some property, and and different spaces of sequences related to each other. We prove that if the classical control modulo of the oscillatory behavior of (un) in is a Tauberian condition for L, then the general control...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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/2006/82342 |
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| _version_ | 1832567467650580480 |
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| author | İbrahim Canak Ümit Totur |
| author_facet | İbrahim Canak Ümit Totur |
| author_sort | İbrahim Canak |
| collection | DOAJ |
| description | Let (un)
be a sequence of real numbers, L
an additive
limitable method with some property, and and
different spaces of sequences related to each other.
We prove that if the classical control modulo of the oscillatory
behavior of (un) in is a Tauberian condition
for L, then the general control modulo of the oscillatory
behavior of integer order m of (un)
in or
is also a Tauberian condition for L. |
| format | Article |
| id | doaj-art-a3fbad2144b04c1688e3c9d5537ff9dd |
| 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-a3fbad2144b04c1688e3c9d5537ff9dd2025-02-03T01:01:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/8234282342Tauberian conditions for a general limitable methodİbrahim Canak0Ümit Totur1Department of Mathematics, Adnan Menderes University, Aydin 09010, TurkeyDepartment of Mathematics, Adnan Menderes University, Aydin 09010, TurkeyLet (un) be a sequence of real numbers, L an additive limitable method with some property, and and different spaces of sequences related to each other. We prove that if the classical control modulo of the oscillatory behavior of (un) in is a Tauberian condition for L, then the general control modulo of the oscillatory behavior of integer order m of (un) in or is also a Tauberian condition for L.http://dx.doi.org/10.1155/IJMMS/2006/82342 |
| spellingShingle | İbrahim Canak Ümit Totur Tauberian conditions for a general limitable method International Journal of Mathematics and Mathematical Sciences |
| title | Tauberian conditions for a general limitable method |
| title_full | Tauberian conditions for a general limitable method |
| title_fullStr | Tauberian conditions for a general limitable method |
| title_full_unstemmed | Tauberian conditions for a general limitable method |
| title_short | Tauberian conditions for a general limitable method |
| title_sort | tauberian conditions for a general limitable method |
| url | http://dx.doi.org/10.1155/IJMMS/2006/82342 |
| work_keys_str_mv | AT ibrahimcanak tauberianconditionsforagenerallimitablemethod AT umittotur tauberianconditionsforagenerallimitablemethod |