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Relative asymptotics and Fourier series of orthogonal polynomials with a discrete Sobolev inner product

✍ Scribed by I.A. Rocha; F. Marcellán; L. Salto

Book ID
108332837
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
236 KB
Volume
121
Category
Article
ISSN
0021-9045

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📜 SIMILAR VOLUMES

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✍ F. Marcellan; W. Vanassche 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 413 KB

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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✍ Bujar Xh. Fejzullahu 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 156 KB

## Abstract Let __d__μ(__x__) = (1 − __x__^2^)^α−1/2^__dx__,α> − 1/2, be the Gegenbauer measure on the interval [ − 1, 1] and introduce the non‐discrete Sobolev inner product where λ>0. In this paper we will prove a Cohen type inequality for Fourier expansions in terms of the polynomials orthogona