Gradient superconvergence for a class of semi-cardinal interpolation schemes with cubic and quintic B-splines

摘要

We solve the conjecture, formulated by Bejancu, Johnson, and Said (2014), on the gradient superconvergence of semi-cardinal interpolation with quintic B-splines, for a hierarchy of finite difference end conditions. We also establish the similar result for cubic B-splines. (C) 2017 Elsevier Inc. All rights reserved.