Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.11851/6299
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 |
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. |
URI: | https://doi.org/10.1007/s11117-009-0041-4 https://hdl.handle.net/20.500.11851/6299 |
ISSN: | 1385-1292 1572-9281 |
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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