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Asymptotic properties and Fourier expansions of orthogonal polynomials with a non-discrete Gegenbauer–Sobolev inner product

✍ Scribed by Bujar Xh. Fejzullahu

Book ID
108159088
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
451 KB
Volume
162
Category
Article
ISSN
0021-9045

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A Cohen type inequality for Fourier expa
A Cohen type inequality for Fourier expansions of orthogonal polynomials with a non-discrete Gegenbauer-Sobolev inner product
✍ 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