Equiconvergence for perturbed Jacobi polynomial expansions
Classical Analysis and ODEs
2020-11-04 v1
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.
Cite
@article{arxiv.2011.01642,
title = {Equiconvergence for perturbed Jacobi polynomial expansions},
author = {K. Jotsaroop and Giacomo Gigante},
journal= {arXiv preprint arXiv:2011.01642},
year = {2020}
}
Comments
38 pages