Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.11851/10980
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 Convergence Interpolation Operators Rates |
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. | URI: | https://doi.org/10.3390/axioms12121124 https://hdl.handle.net/20.500.11851/10980 |
ISSN: | 2075-1680 |
Appears in Collections: | WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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