On periodic discrete spline interpolation: Quintic and biquintic cases

Abstract

In this paper, we develop a class of periodic discrete spline interpolates in one and two independent variables. Explicit error bounds are further derived for the periodic quintic and biquintic discrete spline interpolates. We also present some numerical examples to illustrate the results obtained. © 2013 Elsevier B.V. All rights reserved. 
DOI: 10.1016/j.cam.2013.05.005

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