Abstract
For functions of a single variable, there is a rich literature on best approximations by ordinary polynomials and by trigonometric polynomials.
Keywords
- Orthonormal Basis
- Orthogonal Polynomial
- Spherical Harmonic
- Legendre Polynomial
- Trigonometric Polynomial
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptions

Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Atkinson, K., Han, W. (2012). Approximation Theory. In: Spherical Harmonics and Approximations on the Unit Sphere: An Introduction. Lecture Notes in Mathematics(), vol 2044. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25983-8_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-25983-8_4
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25982-1
Online ISBN: 978-3-642-25983-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)
