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• W2064873502 endingPage "1242" @default.
• W2064873502 startingPage "1218" @default.
• W2064873502 abstract "Interpolation functions $f:[0,1] to mathbb{R}$ of the following nature are constructed. Given data [ left{ {left( {t_n ,x_n } right) in [0,1] times mathbb{R}:n = 0,1,2, cdots ,N} right}] with $0 = t_0 < t_1 < cdots <' t_N = 1$, f obeys [ f(t_n ) = x_n ,qquad n = 0,1,2, cdots ,N.] Furthermore, the graph of f is the projection of a set G in $mathbb{R}^M $ (M an integer greater than or equal to 2) that is homeomorphic to $[0,1]$ and is the attractor for an iterated function system consisting of afflne maps in $mathbb{R}^M $. The latter characterization ensures that f can be computed rapidly while possessing many ”hidden” variables, on which its values continuously depend, which allow great flexibility and diversity in the interpolant, making it potentially useful in approximation theory. Estimtes and exact values for the fractal dimensions of G and the graph of f are obtained." @default.
• W2064873502 created "2016-06-24" @default.
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• W2064873502 date "1989-09-01" @default.
• W2064873502 modified "2023-10-16" @default.
• W2064873502 title "Hidden Variable Fractal Interpolation Functions" @default.
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• W2064873502 doi "https://doi.org/10.1137/0520080" @default.
• W2064873502 hasPublicationYear "1989" @default.
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