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http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/3162| Title: | Generalized weighted statistical convergence and application |
| Authors: | Belen, C. Mohiuddine, S. A. Ordu Üniversitesi 0000-0002-9050-9104 0000-0002-8832-1524 |
| Keywords: | Density Weighted mean Statistical convergence Korovkin theorem Positive linear operator |
| Issue Date: | 2013 |
| Publisher: | ELSEVIER SCIENCE INCSTE 800, 230 PARK AVE, NEW YORK, NY 10169 |
| Abstract: | The object of this paper is to introduce the concepts of weighted lambda-statistical convergence and statistical summability ((N) over bar (lambda), p). We also establish some inclusion relations and some related results for these new summability methods. Further, we determine a Korovkin type approximation theorem through statistical summability ((N) over bar (lambda), p) and we show that our approximation theorem is stronger than classical Korovkin theorem by using classical Bernstein polynomials. (C) 2013 Elsevier Inc. All rights reserved. |
| URI: | http://doi.org/10.1016/j.amc.2013.03.115 http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/3162 |
| Appears in Collections: | Matematik ve Fen Bilgisi Eğitimi |
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