Equiconvergence for perturbed Jacobi polynomial expansions

Equiconvergence for perturbed Jacobi polynomial expansions

We show asymptotic expansions of the eigenfunctions of certain perturbations of the Jacobi operator in a bounded interval, deducing equiconvergence results between expansions with respect to the associated orthonormal basis and expansions with respect to the cosine basis. Several results for pointwi...

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Veröffentlicht in:arXiv.org 2020-11
Hauptverfasser: Jotsaroop, K, Gigante, Giacomo
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic series
Eigenvectors
Polynomials
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Zusammenfassung:We show asymptotic expansions of the eigenfunctions of certain perturbations of the Jacobi operator in a bounded interval, deducing equiconvergence results between expansions with respect to the associated orthonormal basis and expansions with respect to the cosine basis. Several results for pointwise convergence then follow.
ISSN:2331-8422