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JAT
2006
13 years 8 months ago
2006
Recurrent bivariate fractal interpolation surfaces (RBFISs) generalise the notion of affine fractal interpolation surfaces (FISs) in that the iterated system of transformations us...
JAT
2010
13 years 7 months ago
2010
We present error bounds for the interpolation with anisotropically transformed radial basis functions for both function and its partial derivatives. The bounds rely on a growth fu...
JAT
2006
13 years 8 months ago
2006
We prove an extrapolation theorem for the nonlinear m-term approximation with respect to a system of functions satisfying very mild conditions. This theorem allows us to prove end...
JAT
2006
13 years 8 months ago
2006
We give a simple, geometric and explicit construction of bivariate interpolation at certain points in a square (called Padua points), giving compact formulas for their fundamental...
JAT
2002
13 years 8 months ago
2002
We investigate polynomials satisfying a three-term recurrence relation of the form Bn(x) = (x - n)Bn-1(x) - nxBn-2(x), with positive recurrence coefficients n+1, n (n = 1, 2, . . ...