Global Smoothness and Shape Preserving Interpolation by Classical Operators

Front Cover
Springer Science & Business Media, Jul 27, 2005 - Mathematics - 146 pages
0 Reviews

This monograph examines in detail two aspects in the field of interpolation of functions -the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP). By considering well-known classical interpolation operators such as Lagrange, Grünwald, Hermite-Fejér and Shepard type, the study is mainly developed for the univariate and bivariate cases. One of the first books on the subject, it presents to the reader, recent work featuring many new interesting results in this field, including an excellent survey of past research. Accompanied by numerous open problems, an updated set of references, and an appendix featuring illustrations of nine types of Shepard surfaces, this unique 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.

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

III
1
IV
4
V
26
VI
30
VII
34
VIII
37
IX
43
X
45
XV
75
XVI
82
XVII
87
XVIII
91
XIX
92
XX
98
XXI
128
XXII
129

XI
59
XII
69
XIII
71
XIV
72

Other editions - View all

Common terms and phrases

Bibliographic information