Approximation with discrete projective transformation

A new approach to approximation of real functions over an interval is analyzed. The approximation is based on the discrete projective transformation and a new class of basic functions. We compare the new approximation with the u-approximation which at the ends of an interval behaves better than the Padé one. The fidelity of DPT-approximants is observed to be even more precise at the ends of an interval and they give smaller maximal error over the interval. We give the comparison of the DPT-approximation with classical, well-known approximations, too. © 1999 Elsevier Science Ltd. All rights reserved.