Global Smoothness and Shape Preserving Interpolation by Classical Operators

• Main Author: Gal, Sorin G. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2005.
• Subjects: Mathematics.; Approximation theory.; Functions of complex variables.; Operator theory.; Functions of real variables.; Numerical analysis.; Applied mathematics.; Engineering mathematics.; Numerical Analysis.; Operator Theory.; Functions of a Complex Variable.; Approximations and Expansions.; Real Functions.; Appl.Mathematics/Computational Methods of Engineering.

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,...

Table of Contents:

• Global Smoothness Preservation, Univariate Case
• Partial Shape Preservation, Univariate Case
• Global Smoothness Preservation, Bivariate Case
• Partial Shape Preservation, Bivariate Case.