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https://hdl.handle.net/20.500.11851/6349| Title: | Better error estimation for Szasz-Mirakjan-Beta operators | Authors: | Duman, Oktay Özarslan, Mehmet Ali Aktuğlu, Hüseyin |
Keywords: | Szasz-Mirakjan-Beta operators positive linear operators the Korovkin-type approximation theorem modulus of continuity Lipschitz class functionals |
Publisher: | Eudoxus Press, Llc | Abstract: | In this paper, we present a modification of a sequence of mixed summation-integral type operators having Szasz and Beta basis functions in summation and integration, the so-called Szasz-Mirakjan-Beta operators. Then we show that our modified operators have a better error estimation on the interval [0, 2]. Furthermore, we give an r-th order generalization of the modified Szasz-Mirakjan-Beta operators and investigate their approximation properties. | URI: | https://hdl.handle.net/20.500.11851/6349 | ISSN: | 1521-1398 |
| Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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