What is a Sobolev space for the Laguerre function systems?
نویسندگان
چکیده
منابع مشابه
A generating function for Laguerre-Sobolev orthogonal polynomials
Let fSng denote the sequence of polynomials orthogonal with respect to the Sobolev inner product
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Laguerre–Sobolev polynomials are orthogonal with respect to an inner product of the form 〈p,q〉S = ∫∞ 0 p(x)q(x)x αe−x dx + λ∫∞ 0 p′(x)q′(x)dμ(x), where α > −1, λ 0, and p,q ∈ P, the linear space of polynomials with real coefficients. If dμ(x) = xαe−x dx, the corresponding sequence of monic orthogonal polynomials {Q n (x)} has been studied by Marcellán et al. (J. Comput. Appl. Math. 71 (1996) 24...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2009
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm192-2-4