Approximation Theory

Book chapter

Peer reviewed

Kendall Atkinson and Weimin Han

Spherical Harmonics and Approximations on the Unit Sphere: An Introduction, pp.131-163

Lecture Notes in Mathematics, Springer Berlin Heidelberg

01/10/2012

DOI: 10.1007/978-3-642-25983-8_4

View Online

For functions of a single variable, there is a rich literature on best approximations by ordinary polynomials and by trigonometric polynomials.

Legendre Polynomial

Orthogonal Polynomial

Orthonormal Basis

Spherical Harmonic

Trigonometric Polynomial

Title: Subtitle: Approximation Theory
Creators: Kendall Atkinson - University of Iowa
Weimin Han - University of Iowa
Resource Type: Book chapter
Publication Details: Spherical Harmonics and Approximations on the Unit Sphere: An Introduction, pp.131-163
Series: Lecture Notes in Mathematics
DOI: 10.1007/978-3-642-25983-8_4
eISSN: 1617-9692
ISSN: 0075-8434
Publisher: Springer Berlin Heidelberg; Berlin, Heidelberg
Language: English
Date published: 01/10/2012
Academic Unit: Computer Science; Mathematics
Record Identifier: 9984241160002771

25 Record Views