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http://hdl.handle.net/11129/3431
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| Title: | Weighted αβ-statistical convergence of Kantorovich-Mittag-Leffler operators |
| Authors: | Özarslan, Mehmet Ali
Aktuğlu, Hüseyin
Eastern Mediterranean University, Faculty of Art & Sciences, Department of Mathematics |
| Keywords: | Kantorovich-Mittag-Leffler operators
Lipschitz class functionals, Bernoulli numbers, λ-statistical convergence, Szász-Mirakjan operators, statistical convergence, Lacunary statistical convergence, αβ-statistical convergence |
| Issue Date: | 2016 |
| Publisher: | Springer Verlag |
| Abstract: | In this paper we introduce Kantorovich variant of the Mittag-Leffler operators including the modified Kantorovich-Szász-Mirakjan operators. We give αβ-statistical approximation theorems for these operators in various function spaces. The results include the statistical, lacunary statistical and λ-statistical cases. Moreover, we compute the rate of convergence in different Lipschitz type spaces. |
| URI: | http://dx.doi.org/10.1515/ms-2015-0171
http://hdl.handle.net/11129/3431 |
| Appears in Collections: | MAT – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Mathematics
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