From Toeplitz Eigenvalues through Green's Kernels to Higher-Order Wirtinger-Sobolev Inequalities

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The paper is concerned with a sequence of constants which appear in several problems. These problems include the minimal eigenvalue of certain positive definite Toeplitz matrices, the minimal eigenvalue of some higher-order ordinary differential operators, the norm of the Green kernels of these operators, the best constant in a Wirtinger-Sobolev inequality, and the conditioning of a special least squares problem. The main result of the paper gives the asymptotics of this sequence.
14 pages, LaTeX

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Functional Analysis, 47B35

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http://salesiana.dossiersoluciones.com/handle/123456789/73577

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412269
 http://arxiv.org/abs/math/0412269

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arXiv