Statistical e-Convergence of Double Sequences and its Application to Korovkin-Type Approximation Theorem for Functions of Two Variables
| dc.contributor.author | Sever Y. | |
| dc.contributor.author | Talo Ö. | |
| dc.date.accessioned | 2025-04-10T11:08:29Z | |
| dc.date.available | 2025-04-10T11:08:29Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | In this paper, we have introduced the concept of statistical e-convergence and proved some fundamental properties of statistical e-convergence. In addition, we have introduced strongly e- | C10| -summability and examined the relationship between statistical e-convergence and strongly e- | C10| -summability of double sequences. Finally, we investigate a Korovkin-type approximation theorem for double sequences of positive linear operators on the space of all continuous real-valued functions defined on any compact subset of the real two-dimensional space. Then we display an application which shows that our new result is stronger than its classical version. © 2016, Shiraz University. | |
| dc.identifier.DOI-ID | 10.1007/s40995-016-0018-7 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.14701/48084 | |
| dc.publisher | Springer International Publishing | |
| dc.title | Statistical e-Convergence of Double Sequences and its Application to Korovkin-Type Approximation Theorem for Functions of Two Variables | |
| dc.type | Article |