Recurrent bivariate fractal interpolation surfaces (RBFISs) generalise the notion of affine fractal interpolation surfaces (FISs) in that the iterated system of transformations us...
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...
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...
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...
Len Bos, Marco Caliari, Stefano De Marchi, Marco V...
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, . . ...