On Weak Statistical Convergence
The main object of this paper is to introduce a new concept of weak statistically Cauchy sequence in a normed space. It is shown that in a reflexive space, weak statistically Cauchy sequences are the same as weakly statistically convergent sequences. Finally, weak statistical convergence has been di...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2007/38530 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849398938959872000 |
|---|---|
| author | Vinod K. Bhardwaj Indu Bala |
| author_facet | Vinod K. Bhardwaj Indu Bala |
| author_sort | Vinod K. Bhardwaj |
| collection | DOAJ |
| description | The main object of this paper is to introduce a new concept of weak statistically Cauchy
sequence in a normed space. It is shown that in a reflexive space, weak statistically
Cauchy sequences are the same as weakly statistically convergent sequences. Finally,
weak statistical convergence has been discussed in lp spaces. |
| format | Article |
| id | doaj-art-9ffefe7d2c9548cd876fd8fdcba1dd31 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9ffefe7d2c9548cd876fd8fdcba1dd312025-08-20T03:38:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/3853038530On Weak Statistical ConvergenceVinod K. Bhardwaj0Indu Bala1Department of Mathematics, Kurukshetra University, Kurukshetra 136 119, IndiaDepartment of Mathematics, Kurukshetra University, Kurukshetra 136 119, IndiaThe main object of this paper is to introduce a new concept of weak statistically Cauchy sequence in a normed space. It is shown that in a reflexive space, weak statistically Cauchy sequences are the same as weakly statistically convergent sequences. Finally, weak statistical convergence has been discussed in lp spaces.http://dx.doi.org/10.1155/2007/38530 |
| spellingShingle | Vinod K. Bhardwaj Indu Bala On Weak Statistical Convergence International Journal of Mathematics and Mathematical Sciences |
| title | On Weak Statistical Convergence |
| title_full | On Weak Statistical Convergence |
| title_fullStr | On Weak Statistical Convergence |
| title_full_unstemmed | On Weak Statistical Convergence |
| title_short | On Weak Statistical Convergence |
| title_sort | on weak statistical convergence |
| url | http://dx.doi.org/10.1155/2007/38530 |
| work_keys_str_mv | AT vinodkbhardwaj onweakstatisticalconvergence AT indubala onweakstatisticalconvergence |