Title of article
Strong asymptotics for Gegenbauer-Sobolev orthogonal polynomials
Author/Authors
Martيnez-Finkelshtein، نويسنده , , Andrei and Moreno-Balcلzar، نويسنده , , Juan J. and Pijeira-Cabrera، نويسنده , , Héctor، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1997
Pages
6
From page
211
To page
216
Abstract
We study the asymptotic behaviour of the monic orthogonal polynomials with respect to the Gegenbauer-Sobolev inner product (f,g)s = 〈f,g〉 + λ〈f′,g′〉 where 〉f,g〈=∫−11 f(x)g(x)(1−x2)α−12 with α−12 and λ>0. The asymptotics of the zeros and norms of these polynomials are also established.
Keywords
Sobolev orthogonal polynomials , Asymptotics
Journal title
Journal of Computational and Applied Mathematics
Serial Year
1997
Journal title
Journal of Computational and Applied Mathematics
Record number
1548099
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