Overview: One of the first books on this subject, it fills a gap in the field of interpolation of functions.Potential applications to data fitting, fluid dynamics, curves and surfaces, engineering, and computer.This monograph examines and develops the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP) in the field of interpolation of functions. The study is developed for the univariate and bivariate cases using well-known classical interpolation operators of Lagrange, Grünwald, Hermite-Fejér and Shepard type. One of the first books on the subject, it prese
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