Polynomial interpolation to analytic functions can be very accurate, depending on the distribution of the interpolation nodes. However, in equispaced nodes and the like, besides being badly ...

Fractal interpolation functions (FIFs) represent an innovative class of methods for modelling and approximating complex data. Derived from iterated function systems, these functions enable the ...

Indeed, the function space associated with this family of methods is infinite-dimensional. Whereas tensor product ("cross product") methods of interpolation such as de Boor's bicubic splines [8] and ...