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Title: Modified Szasz-Mirakjan-Kantorovich Operators Preserving Linear Functions
Authors: Duman, Oktay
Özarslan, Mehmet Ali
Della Vecchia, Biancamaria
Keywords: Szasz-Mirakjan operators
Szasz-Mirakjan-Kantorovich operators
the Korovkin-type approximation theorem
modulus of continuity
Lipschitz class functionals
Voronovskaya type theorem
Issue Date: 2009
Publisher: Scientific Technical Research Council Turkey-Tubitak
Abstract: In this paper, we introduce a modification of the Szasz-Mirakjan-Kantorovich operators, which preserve the linear functions. This type of operator modification enables better error estimation on the interval [1/2, +infinity) than the classical Szasz-Mirakjan-Kantorovich operators. We also obtain a Voronovskaya-type theorem for these operators.
ISSN: 1300-0098
Appears in Collections:Matematik Bölümü / Department of Mathematics
TR Dizin İndeksli Yayınlar / TR Dizin Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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