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Symmetrical Orthogonal Polynomials for Sobolev-Type Inner Products

✍ Scribed by M. Alfaro; F. Marcellan; H.G. Meijer; M.L. Rezola

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
644 KB
Volume
184
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

Relative Asymptotics for Orthogonal Poly
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We investigate orthogonal polynomials for a Sobolev type inner product \(\langle f, g\rangle=(f, g)+\lambda f^{\prime}(c) g^{\prime}(c)\), where \((f, g)\) is an ordinary inner product in \(L_{2}(\mu)\) with \(\mu\) a positive measure on the real line. We compare the Sobolev orthogonal polynomials w

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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