Estimates for Jacobi-Sobolev type orthogonal polynomials
Classical Analysis and ODEs
2016-09-06 v1
Abstract
Let the Sobolev-type inner product <f,g> = \int fg d mu_0+ int f' g' d mu_1 with mu_0 = w + M delta_c, mu_1= N delta_c where w is the Jacobi weight, c is either 1 or -1 and M, N >= 0. We obtain estimates and asymptotic properties on [-1,1] for the polynomials orthonormal with respect to <.,.> and their kernels. We also compare these polynomials with Jacobi orthonormal polynomials.
Cite
@article{arxiv.math/9601216,
title = {Estimates for Jacobi-Sobolev type orthogonal polynomials},
author = {Manual Alfaro and Francisco Marcellán},
journal= {arXiv preprint arXiv:math/9601216},
year = {2016}
}