2020
DOI: 10.3390/math8020182
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Eigenvalue Problem for Discrete Jacobi–Sobolev Orthogonal Polynomials

Abstract: In this paper, we consider a discrete Sobolev inner product involving the Jacobi weight with a twofold objective. On the one hand, since the orthonormal polynomials with respect to this inner product are eigenfunctions of a certain differential operator, we are interested in the corresponding eigenvalues, more exactly, in their asymptotic behavior. Thus, we can determine a limit value which links this asymptotic behavior and the uniform norm of the orthonormal polynomials in a logarithmic scale. This value app… Show more

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Cited by 4 publications
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