Statistical convergence in strong topology of probabilistic normed spaces
Following the concept of statistical convergence, we define and study statistical analog concepts of convergence and Cauchy's sequence on a probabilistic normed space that is endowed with a strong topology. Some important properties of statistical convergence have been extended in this new sett...
| Main Authors: | , |
|---|---|
| Format: | info:eu-repo/semantics/article |
| Language: | English |
| Published: |
Note di Matematica
2014
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/10835/2749 |
| _version_ | 1789406642081628160 |
|---|---|
| author | Lafuerza Guillén, Bernardo Rafi S. Rahmat, Mohammed |
| author_facet | Lafuerza Guillén, Bernardo Rafi S. Rahmat, Mohammed |
| author_sort | Lafuerza Guillén, Bernardo |
| collection | DSpace |
| description | Following the concept of statistical convergence, we define and study statistical analog concepts of convergence and Cauchy's sequence on a probabilistic normed space that is endowed with a strong topology. Some important properties of statistical convergence have been extended in this new setting. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-2749 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2014 |
| publisher | Note di Matematica |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-27492023-04-12T19:39:08Z Statistical convergence in strong topology of probabilistic normed spaces Lafuerza Guillén, Bernardo Rafi S. Rahmat, Mohammed Mathematics Probabilistic Normed Spaces Following the concept of statistical convergence, we define and study statistical analog concepts of convergence and Cauchy's sequence on a probabilistic normed space that is endowed with a strong topology. Some important properties of statistical convergence have been extended in this new setting. 2014-06-17T08:33:21Z 2014-06-17T08:33:21Z 2008-04-22 info:eu-repo/semantics/article Vol. 29, No. 1, pp. 79-88 http://hdl.handle.net/10835/2749 en info:eu-repo/semantics/openAccess Note di Matematica |
| spellingShingle | Mathematics Probabilistic Normed Spaces Lafuerza Guillén, Bernardo Rafi S. Rahmat, Mohammed Statistical convergence in strong topology of probabilistic normed spaces |
| title | Statistical convergence in strong topology of probabilistic normed spaces |
| title_full | Statistical convergence in strong topology of probabilistic normed spaces |
| title_fullStr | Statistical convergence in strong topology of probabilistic normed spaces |
| title_full_unstemmed | Statistical convergence in strong topology of probabilistic normed spaces |
| title_short | Statistical convergence in strong topology of probabilistic normed spaces |
| title_sort | statistical convergence in strong topology of probabilistic normed spaces |
| topic | Mathematics Probabilistic Normed Spaces |
| url | http://hdl.handle.net/10835/2749 |
| work_keys_str_mv | AT lafuerzaguillenbernardo statisticalconvergenceinstrongtopologyofprobabilisticnormedspaces AT rafisrahmatmohammed statisticalconvergenceinstrongtopologyofprobabilisticnormedspaces |