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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
Issue Date: 2008
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.
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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