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Title: Approximations by linear operators in spaces of fuzzy continuous functions
Authors: Burgin, Mark
Duman, Oktay
Keywords: The Korovkin theorem
Positive linear operator
Fuzzy limits
Fuzzy convergence
Issue Date: 2011
Publisher: Springer
Abstract: In this work, we further develop the Korovkin-type approximation theory by utilizing a fuzzy logic approach and principles of neoclassical analysis, which is a new branch of fuzzy mathematics and extends possibilities provided by the classical analysis. In the conventional setting, the Korovkin-type approximation theory is developed for continuous functions. Here we extend it to the space of fuzzy continuous functions, which contains a great diversity of functions that are not continuous. Furthermore, we give several applications, demonstrating that our new approximation results are stronger than the classical ones.
ISSN: 1385-1292
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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