Work

Asymptotic Behavior of the Modulus of the Kernel and Error Bounds of Anti-Gaussian Quadrature Formulas with Jacobi Weights

Year: 2025

Type: article

Abstract: In this paper, the remainder term of anti-Gaussian quadrature rules for analytic integrands with respect to Jacobi weight functions ωa,b(x)=(1−x)a(1+x)b, where a,b>−1, is analyzed, and sharp estimates of the error are provided. These kinds of quadrature formulas were introduced by D.P. Laurie and have been recently studied by M.M. Spalević for the case of Jacobi-type weight functions ω.

Source: Mathematics

DOI: 10.3390/math13121902

Authors: Ramon Orive, Ljubica Mihić, Aleksandar Pejčev, Miroslav Pranić, Stefan Spalević

Institutions: Universidad de La Laguna, Univerzitet Union Nikola Tesla, Academy of Technical and Art Applied Studies, University of Belgrade, University of Banja Luka

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Agencia Estatal de Investigación