Please use this identifier to cite or link to this item:
http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/1718| Title: | Some Tauberian theorems for statistical (C, 1) summability |
| Authors: | Belen, Cemal Ordu Üniversitesi 0000-0002-8832-1524 |
| Keywords: | DOUBLE SEQUENCESWEIGHTED MEANSCONVERGENCE FOLLOWSCESARO SUMMABILITY Tauberian theoremStatistical convergenceCesaro summability |
| Issue Date: | 2014 |
| Publisher: | ELSEVIER SCIENCE INCSTE 800, 230 PARK AVE, NEW YORK, NY 10169 |
| Abstract: | Schoenberg (1959) [23] proved that if a sequence (x(k)) is bounded and statistically convergent to L then it is statistically summable (C, 1) to L. However the converse is not true. In this paper we prove necessary and sufficient Tauberian conditions based on generator sequences under which statistical convergence follows from statistical summability (C, 1). (C) 2014 Elsevier Inc. All rights reserved. |
| URI: | http://doi.org/10.1016/j.amc.2014.04.104 http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/1718 |
| Appears in Collections: | Matematik ve Fen Bilgisi Eğitimi |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.