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.
(2023). Equiconvergence for perturbed Jacobi polynomial expansions [journal article - articolo]. In JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. Retrieved from https://hdl.handle.net/10446/239949
Equiconvergence for perturbed Jacobi polynomial expansions
Gigante, Giacomo;
2023-01-01
Abstract
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.File allegato/i alla scheda:
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