Title of article
Sobolev orthogonality for the Gegenbauer polynomials {Cn(−N+12)}n⩾0
Author/Authors
de Morales، نويسنده , , Marيa ءlvarez and Pérez، نويسنده , , Teresa E. and Piٌar، نويسنده , , Miguel A.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1998
Pages
10
From page
111
To page
120
Abstract
In this work, we obtain the property of Sobolev orthogonality for the Gegenbauer polynomials {Cn(−N+12)}n⩾0, with N⩾1 a given nonnegative integer, that is, we show that they are orthogonal with respect to some inner product involving derivatives. The Sobolev orthogonality can be used to recover properties of these Gegenbauer polynomials. For instance, we can obtain linear relations with the classical Gegenbauer polynomials.
Keywords
Gegenbauer polynomials , Nondiagonal Sobolev inner product , Sobolev orthogonal polynomials
Journal title
Journal of Computational and Applied Mathematics
Serial Year
1998
Journal title
Journal of Computational and Applied Mathematics
Record number
1548708
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