Max-product Shepard operators based on multivariable Taylor polynomials

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
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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