Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/10702
Title: Max-product Shepard operators based on multivariable Taylor polynomials
Authors: Duman, Oktay
Keywords: Shepard operators
Max-product operators
Matrix summability methods
Power series methods
Korovkin-Type Approximation
Interpolation
Convergence
Summability
Spaces
Issue Date: 2024
Publisher: Elsevier
Abstract: In this paper, by using multivariable Taylor polynomials and also the max-product operation, we give a nonlinear modification of the classical Shepard operators. This modification enables us to obtain better approximation behavior than the classical aspects studied by Shepard (1968) and Farwig (1986). We also discuss the effects of regular summability methods in the approximation. At the end of the paper, we give some applications and graphical simulations verifying our approximation results.& COPY; 2023 Elsevier B.V. All rights reserved.
URI: https://doi.org/10.1016/j.cam.2023.115456
https://hdl.handle.net/20.500.11851/10702
ISSN: 0377-0427
1879-1778
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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