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

2022/01/20 by C. Laurita, Laurita, Concetta
Mathematics · #65D30 #65D32 #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical functions and polynomials #Numerical Analysis (math.NA) #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2201.08454

openalex publication_date 2022/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An error estimate for the Gauss-Lobatto quadrature formula for integration over the interval [-1, 1], relative to the Jacobi weight function wα,β(t)=(1-t)α(1+t)β, α,β>-1, is obtained. This estimate holds true for functions belonging to some Sobolev-type subspaces of the weighted space Lwα,β1([-1,1]).

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