An error estimate for the Gauss-Jacobi-Lobatto quadrature rule

Concetta Laurita

An error estimate for the Gauss-Jacobi-Lobatto quadrature rule

Numerical Analysis 2022-01-24 v1 Numerical Analysis

Authors: Concetta Laurita

Abstract

An error estimate for the Gauss-Lobatto quadrature formula for integration over the interval $[-1, 1]$ , relative to the Jacobi weight function $w^{\alpha,\beta}(t)=(1-t)^\alpha(1+t)^\beta$ , $\alpha,\beta>-1$ , is obtained. This estimate holds true for functions belonging to some Sobolev-type subspaces of the weighted space $L_{w^{\alpha,\beta}}^1([-1,1])$ .

Keywords

gauss-lobatto quadrature jacobi weight error estimate sobolev spaces weighted integration

Cite

@article{arxiv.2201.08454,
  title  = {An error estimate for the Gauss-Jacobi-Lobatto quadrature rule},
  author = {Concetta Laurita},
  journal= {arXiv preprint arXiv:2201.08454},
  year   = {2022}
}

Comments

7 pages

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