Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/3563
Title: Approximation by max-min operators: A general theory and its applications
Authors: Gökçer, Yeliz Türkan
Duman, Oktay
Keywords: Max-min operators
max-product operators
shepard-type operators
pseudo linearity
Issue Date: 1-Sep-2020
Publisher: Elsevier B.V.
Source: Gökçer, T. Y., & Duman, O. (2019). Approximation by max-min operators: A general theory and its applications. Fuzzy Sets and Systems.
Abstract: In this study, we obtain a general approximation theorem for max-min operators including many significant applications. We also study the error estimation in this approximation by using Hölder continuous functions. The main motivation for this work is the paper by Bede et al. (2008) [12]. As a special case of our results, we explain how to approximate nonnegative continuous functions of one and two variables by means of the max-min Shepard operators. We also study the approximation by the max-min Bernstein operators. Furthermore, to verify the theory we display graphical illustrations.
URI: https://hdl.handle.net/20.500.11851/3563
https://www.sciencedirect.com/science/article/pii/S0165011419305020?via%3Dihub
ISSN: 01650114
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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