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Computing with Expansions in Gegenbauer Polynomials

✍ Scribed by Keiner, Jens


Book ID
118191934
Publisher
Society for Industrial and Applied Mathematics
Year
2009
Tongue
English
Weight
544 KB
Volume
31
Category
Article
ISSN
1064-8275

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## Abstract Let __d__ΞΌ(__x__) = (1 βˆ’ __x__^2^)^Ξ±βˆ’1/2^__dx__,Ξ±> βˆ’ 1/2, be the Gegenbauer measure on the interval [ βˆ’ 1, 1] and introduce the non‐discrete 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