The convergence of discrete Fourier-Jacobi series
Classical Analysis and ODEs
2019-10-30 v2
Abstract
The discrete counterpart of the problem related to the convergence of the Fourier-Jacobi series is studied. To this end, given a sequence, we construct the analogue of the partial sum operator related to Jacobi polynomials and characterize its convergence in the -norm.
Cite
@article{arxiv.1906.08004,
title = {The convergence of discrete Fourier-Jacobi series},
author = {Alberto Arenas and Óscar Ciaurri and Edgar Labarga},
journal= {arXiv preprint arXiv:1906.08004},
year = {2019}
}
Comments
10 pages, corrected typos, added comments