A Tauberian Theorem for Double Cesàro Summability Method
We have generalized Littlewood Tauberian theorems for (C,k,r) summability of double sequences by using oscillating behavior and de la Vallée-Poussin mean. Further, the generalization of (C,r) summability from (C,k,r) summability is given as corollaries which were earlier established by the authors.
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2016/2431010 |
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| author | Bidu Bhusan Jena Susanta Kumar Paikray Umakanta Misra |
| author_facet | Bidu Bhusan Jena Susanta Kumar Paikray Umakanta Misra |
| author_sort | Bidu Bhusan Jena |
| collection | DOAJ |
| description | We have generalized Littlewood Tauberian theorems for (C,k,r) summability of double sequences by using oscillating behavior and de la Vallée-Poussin mean. Further, the generalization of (C,r) summability from (C,k,r) summability is given as corollaries which were earlier established by the authors. |
| format | Article |
| id | doaj-art-d7af30c661494648bf7a9f3de8517a83 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d7af30c661494648bf7a9f3de8517a832025-02-03T01:01:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252016-01-01201610.1155/2016/24310102431010A Tauberian Theorem for Double Cesàro Summability MethodBidu Bhusan Jena0Susanta Kumar Paikray1Umakanta Misra2Department of Mathematics, VSS University of Technology, Burla 768018, IndiaDepartment of Mathematics, VSS University of Technology, Burla 768018, IndiaDepartment of Mathematics, NIST, Palur Hills, Golanthara 761008, IndiaWe have generalized Littlewood Tauberian theorems for (C,k,r) summability of double sequences by using oscillating behavior and de la Vallée-Poussin mean. Further, the generalization of (C,r) summability from (C,k,r) summability is given as corollaries which were earlier established by the authors.http://dx.doi.org/10.1155/2016/2431010 |
| spellingShingle | Bidu Bhusan Jena Susanta Kumar Paikray Umakanta Misra A Tauberian Theorem for Double Cesàro Summability Method International Journal of Mathematics and Mathematical Sciences |
| title | A Tauberian Theorem for Double Cesàro Summability Method |
| title_full | A Tauberian Theorem for Double Cesàro Summability Method |
| title_fullStr | A Tauberian Theorem for Double Cesàro Summability Method |
| title_full_unstemmed | A Tauberian Theorem for Double Cesàro Summability Method |
| title_short | A Tauberian Theorem for Double Cesàro Summability Method |
| title_sort | tauberian theorem for double cesaro summability method |
| url | http://dx.doi.org/10.1155/2016/2431010 |
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