Wijsman Orlicz Asymptotically Ideal -Statistical Equivalent Sequences
An ideal is a family of subsets of positive integers which is closed under taking finite unions and subsets of its elements. In this paper, we introduce a new definition of asymptotically ideal -statistical equivalent sequence in Wijsman sense and present some definitions which are the natural com...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/257181 |
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| _version_ | 1832550635016290304 |
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| author | Bipan Hazarika |
| author_facet | Bipan Hazarika |
| author_sort | Bipan Hazarika |
| collection | DOAJ |
| description | An ideal is a family of subsets of positive integers which is closed under taking finite unions and subsets of its elements. In this paper, we introduce a new definition of asymptotically ideal -statistical equivalent sequence
in Wijsman sense and present some definitions which are the natural combination of the definition of asymptotic equivalence, statistical equivalent, -statistical equivalent sequences in Wijsman sense. Finally, we introduce the notion of Cesaro Orlicz asymptotically -equivalent sequences in Wijsman sense and establish their relationship with other classes. |
| format | Article |
| id | doaj-art-811dffab00c54869b3d96d64d72da410 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-811dffab00c54869b3d96d64d72da4102025-02-03T06:06:15ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/257181257181Wijsman Orlicz Asymptotically Ideal -Statistical Equivalent SequencesBipan Hazarika0Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh, Arunachal Pradesh 791112, IndiaAn ideal is a family of subsets of positive integers which is closed under taking finite unions and subsets of its elements. In this paper, we introduce a new definition of asymptotically ideal -statistical equivalent sequence in Wijsman sense and present some definitions which are the natural combination of the definition of asymptotic equivalence, statistical equivalent, -statistical equivalent sequences in Wijsman sense. Finally, we introduce the notion of Cesaro Orlicz asymptotically -equivalent sequences in Wijsman sense and establish their relationship with other classes.http://dx.doi.org/10.1155/2013/257181 |
| spellingShingle | Bipan Hazarika Wijsman Orlicz Asymptotically Ideal -Statistical Equivalent Sequences Journal of Function Spaces and Applications |
| title | Wijsman Orlicz Asymptotically Ideal -Statistical Equivalent Sequences |
| title_full | Wijsman Orlicz Asymptotically Ideal -Statistical Equivalent Sequences |
| title_fullStr | Wijsman Orlicz Asymptotically Ideal -Statistical Equivalent Sequences |
| title_full_unstemmed | Wijsman Orlicz Asymptotically Ideal -Statistical Equivalent Sequences |
| title_short | Wijsman Orlicz Asymptotically Ideal -Statistical Equivalent Sequences |
| title_sort | wijsman orlicz asymptotically ideal statistical equivalent sequences |
| url | http://dx.doi.org/10.1155/2013/257181 |
| work_keys_str_mv | AT bipanhazarika wijsmanorliczasymptoticallyidealstatisticalequivalentsequences |