Some Spaces of Double Sequences Obtained through Invariant Mean and Related Concepts
We introduce some double sequences spaces involving the notions of invariant mean (or -mean) and -convergence for double sequences while the idea of -convergence for double sequences was introduced by Çakan et al. 2006, by using the notion of invariant mean. We determine here some inclusion relation...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/507950 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561473593802752 |
|---|---|
| author | S. A. Mohiuddine Abdullah Alotaibi |
| author_facet | S. A. Mohiuddine Abdullah Alotaibi |
| author_sort | S. A. Mohiuddine |
| collection | DOAJ |
| description | We introduce some double sequences spaces involving the notions of invariant mean (or -mean) and -convergence for double sequences while the idea of -convergence for double sequences was introduced by Çakan et al. 2006, by using the notion of invariant mean. We determine here some inclusion relations and topological results for these new double sequence spaces. |
| format | Article |
| id | doaj-art-0fbd9c1066524666af3dc7dad57ee900 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0fbd9c1066524666af3dc7dad57ee9002025-02-03T01:24:56ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/507950507950Some Spaces of Double Sequences Obtained through Invariant Mean and Related ConceptsS. A. Mohiuddine0Abdullah Alotaibi1Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe introduce some double sequences spaces involving the notions of invariant mean (or -mean) and -convergence for double sequences while the idea of -convergence for double sequences was introduced by Çakan et al. 2006, by using the notion of invariant mean. We determine here some inclusion relations and topological results for these new double sequence spaces.http://dx.doi.org/10.1155/2013/507950 |
| spellingShingle | S. A. Mohiuddine Abdullah Alotaibi Some Spaces of Double Sequences Obtained through Invariant Mean and Related Concepts Abstract and Applied Analysis |
| title | Some Spaces of Double Sequences Obtained through Invariant Mean and Related Concepts |
| title_full | Some Spaces of Double Sequences Obtained through Invariant Mean and Related Concepts |
| title_fullStr | Some Spaces of Double Sequences Obtained through Invariant Mean and Related Concepts |
| title_full_unstemmed | Some Spaces of Double Sequences Obtained through Invariant Mean and Related Concepts |
| title_short | Some Spaces of Double Sequences Obtained through Invariant Mean and Related Concepts |
| title_sort | some spaces of double sequences obtained through invariant mean and related concepts |
| url | http://dx.doi.org/10.1155/2013/507950 |
| work_keys_str_mv | AT samohiuddine somespacesofdoublesequencesobtainedthroughinvariantmeanandrelatedconcepts AT abdullahalotaibi somespacesofdoublesequencesobtainedthroughinvariantmeanandrelatedconcepts |