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Please use this identifier to cite or link to this item:
http://hdl.handle.net/11129/3469
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| Title: | Korovkin type theorem for non‐tensor Balázs type Bleimann, Butzer and Hahn operators |
| Authors: | Özarslan, Mehmet Ali
Aktuğlu, Hüseyin
Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematics |
| Keywords: | positive linear operators, modulus of continuity, Balázs operators
Korovkin type theorem, Bernstein type rational functions, Bleimann, Butzer and Hahn operators
MATHEMATICS, APPLIED, APPROXIMATION,
BERNSTEIN-TYPE OPERATORS, Butzer and Hahn operators, INVERSE-BETA, CONVERGENCE, Balazs operators, Bleimann, Bleimann Butzer and Hahn operators |
| Issue Date: | 2015 |
| Publisher: | WILEY-BLACKWELL |
| Abstract: | In this paper, we prove a certain Korovkin type approximation theorem by introducing new test functions. We introduce the non-tensor Balázs type Bleimann, Butzer and Hahn operators and give the approximation property by using this new Korovkin theorem. Furthermore, we obtain the rate of convergence of these operators by means of modulus of continuity. Finally, we state the multivariate version of the abovementioned Korovkin type theorem. Copyright © 2014 John Wiley & Sons, Ltd. |
| URI: | http://dx.doi.org/10.1002/mma.3204
http://hdl.handle.net/11129/3469 |
| ISSN: | 0170-4214(print)
1099-1476(online) |
| Appears in Collections: | MAT – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Mathematics
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