A discretized Fourier orthogonal expansion in orthogonal polynomials on a cylinder
β Scribed by Jeremy Wade
- Book ID
- 108159114
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 510 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Based on the general theory, we consider the continuous orthogonality property for classical polynomials of a discrete variable on nonuniform lattices. ## I. Introduction. Preliminary Notions and Notations Classical orthogonal polynomials (Jacobi, Laguerre and Hermite) are the simplest solutions
## Abstract Let __d__ΞΌ(__x__) = (1 β __x__^2^)^Ξ±β1/2^__dx__,Ξ±> β 1/2, be the Gegenbauer measure on the interval [ β 1, 1] and introduce the nonβdiscrete Sobolev inner product where Ξ»>0. In this paper we will prove a Cohen type inequality for Fourier expansions in terms of the polynomials orthogona