Fitting smooth functions to data /
"This book is an introductory text that charts the recent developments in the area of Whitney-type extension problems and the mathematical aspects of interpolation of data. It provides a detailed tour of a new and active area of mathematical research. In each section, the authors focus on a dif...
| Main Authors: | , |
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| Corporate Author: | |
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island :
American Mathematical Society,
[2020]
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| Series: | Regional conference series in mathematics ;
no. 135 Regional conference series in mathematics no. 135 |
| Subjects: |
Convex and discrete geometry
> General convexity
> Helly-type theorems and geometric transversal theory
Harmonic analysis on Euclidean spaces
> Nontrigonometric harmonic analysis
> None of the above, but in this section
Numerical analysis
> Numerical approximation and computational geometry (primarily algorithms)
> Computer aided design (modeling of curves and surfaces)
Numerical analysis
> Numerical approximation and computational geometry (primarily algorithms)
> Interpolation
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Table of Contents:
- Overview
- Whitney's extension theorem
- Cm interpolation for finite data
- The classical Whitney extension problem
- Extension and interpolation in Sobolev spaces
- Vector-valued functions
- Open problems