All normalized totally positive bases satisfy the progressive iterative approximation property. The normalized B-basis has optimal shape preserving properties and we prove that it satisfies the progressive iterative approximation property with the fastest convergence rates. A similar result for tensor product surfaces is also derived. © 2006 Elsevier B.V. All rights reserved.

and Applied Analysis 3

We solve the Balitsky–Fadin–Kuraev–Lipatov (BFKL) equation in the next–to–leading logarithmic approximation for forward scattering with all conformal spins using an iterative method .