In this paper, we investigate the difference of Shepard's generalized operators S(sigma) from the approximated set of data for various weight functions sigma. Bounds are given for the sizes of the 'bumps' shown on the graph of S(sigma) for sigma(d) = 1/d in dimension N = 1, and the best weight function sigma for practical use is proposed.
Finding better weight functions for generalized Shepard's operator on infinite intervals / DELLA VECCHIA, Biancamaria; I., Szalkai. - In: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. - ISSN 0020-7160. - STAMPA. - 88:(2011), pp. 2838-2851. [10.1080/00207160.2011.559542]
Finding better weight functions for generalized Shepard's operator on infinite intervals
DELLA VECCHIA, Biancamaria;
2011
Abstract
In this paper, we investigate the difference of Shepard's generalized operators S(sigma) from the approximated set of data for various weight functions sigma. Bounds are given for the sizes of the 'bumps' shown on the graph of S(sigma) for sigma(d) = 1/d in dimension N = 1, and the best weight function sigma for practical use is proposed.File allegati a questo prodotto
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