Global Smoothness and Shape Preserving Interpolation Classical Operators by Sorin G. Gal

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Global Smoothness and Shape Preserving Interpolation  by  Classical Operators by Sorin G. Gal

Global Smoothness and Shape Preserving Interpolation by Classical Operators by Sorin G. Gal
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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 usingMoreThis 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, Grunwald, Hermite-Fejer and Shepard type. One of the first books on the subject, it presents interesting new results along with an excellent survey of past research. This text is best suited to graduate students and researchers in mathematical analysis, interpolation of functions, pure and applied mathematicians in numerical analysis, approximation theory, data fitting, computer-aided geometric design, fluid mechanics, and engineering researchers.



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