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Title: Vector-Valued Shepard Processes: Approximation with Summability
Authors: Duman, Oktay
Vecchia, Biancamaria Della
Keywords: approximation of vector-valued functions
Shepard operators
matrix summability methods
Cesaro method
Issue Date: 2023
Publisher: Mdpi
Abstract: In this work, vector-valued continuous functions are approximated uniformly on the unit hypercube by Shepard operators. If lambda denotes the usual parameter of the Shepard operators and m is the dimension of the hypercube, then our results show that it is possible to obtain a uniform approximation of a continuous vector-valued function by these operators when lambda >= m+1. By using three-dimensional parametric plots, we illustrate this uniform approximation for some vector-valued functions. Finally, the influence in approximation by regular summability processes is studied, and their motivation is shown.
ISSN: 2075-1680
Appears in Collections:WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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