Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/6905
Title: Integral-type generalizations of operators obtained from certain multivariate polynomials
Authors: Erkuş,Duman, Esra
Duman, Oktay
Keywords: Chan-Chyan-Srivastava multivariable polynomials
Korovkin approximation theorem
Kantorovich-type operators
A-statistical convergence
modulus of continuity
Lipschitz class functional
Peetre's K-functional
Issue Date: 2008
Publisher: Springer-Verlag Italia Srl
Abstract: In this work, we mainly focus on the Kantorovich-type (integral-type) generalizations of the positive linear operators obtained from the Chan-Chyan-Srivastava multivariable polynomials. Using the notion of A-statistical convergence, we obtain various approximation theorems including a statistical Korovkin-type result and rates of A-statistical convergence with the help of the modulus of continuity, Lipschitz class functionals and Peetre's K-functionals. We also introduce an sth order generalization of our approximating operators.
URI: https://doi.org/10.1007/s10092-008-0143-6
https://hdl.handle.net/20.500.11851/6905
ISSN: 0008-0624
1126-5434
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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