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- W2013219046 abstract "Let {Qn(α)(x)}n≥0 denote the sequence of monic polynomials orthogonal with respect to the non-discrete Sobolev inner product 〈f,g〉=∫−11f(x)g(x)dμ(x)+λ∫−11f′(x)g′(x)dμ(x) where dμ(x)=(1−x2)α−1/2dx with α>−1/2, and λ>0. A strong asymptotic on (−1,1), a Mehler–Heine type formula as well as Sobolev norms of Qn(α) are obtained. We also study the necessary conditions for norm convergence and the failure of a.e. convergence of a Fourier expansion in terms of the Sobolev orthogonal polynomials." @default.
- W2013219046 created "2016-06-24" @default.
- W2013219046 creator A5082168495 @default.
- W2013219046 date "2010-02-01" @default.
- W2013219046 modified "2023-09-25" @default.
- W2013219046 title "Asymptotic properties and Fourier expansions of orthogonal polynomials with a non-discrete Gegenbauer–Sobolev inner product" @default.
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- W2013219046 doi "https://doi.org/10.1016/j.jat.2009.07.002" @default.
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