## Broniatowski, Michel

# Interpolation and Extrapolation Optimal Designs V1: Polynomial Regression and Approximation Theory

This book is the first of a series which focuses on the interpolation and extrapolation of optimal designs, an area with significant applications in engineering, physics, chemistry and most experimental fields.

In this volume, the authors emphasize the importance of problems associated with the construction of design. After a brief introduction on how the theory of optimal designs meets the theory of the uniform approximation of functions, the authors introduce the basic elements to design planning and link the statistical theory of optimal design and the theory of the uniform approximation of functions.

The appendices provide the reader with material to accompany the proofs discussed throughout the book.

normed spaces

Uniform approximation

polynomial approximation

Interpolation and extrapolation designs

Chebyshev regression

Lagrange equation

,

continuous functions

normed spaces

Uniform approximation

polynomial approximation

Interpolation and extrapolation designs

Chebyshev regression

Lagrange equation

, Applied Mathematics in Science

- Author(s)
- Broniatowski, Michel
- Celant, Giorgio
- Publisher
- John Wiley and Sons, Inc.
- Publication year
- 2016
- Language
- en
- Edition
- 1
- Category
- Technology, Energy, Traffic
- Format
- Ebook
- eISBN (ePUB)
- 9781119292296
- Printed ISBN
- 9781848219953