Book Details

978-0-8176-4401-7

Global Smoothness and Shape Preserving Interpolation by Classical Operators

Publication year: 2005

ISBN: 978-0-8176-4401-7

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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 presents interesting new results alongwith an excellent survey of past research.


Subject: Mathematics and Statistics, Complex variables, Operator, Operator Theory, calculus, fluid mechanics, function, ksa, mechanics, numerical analysis, proof