Asymptotic Behavior of the Modulus of the Kernel and Error Bounds of Anti-Gaussian Quadrature Formulas with Jacobi Weights
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.
Authors
- R. Orive (ORCID: https://orcid.org/0000-0001-8106-0192)
- Aleksandar V. Pejčev (ORCID: https://orcid.org/0000-0003-3438-4412)
- Ljubica Mihić (ORCID: https://orcid.org/0000-0003-4522-7850)
- Miroslav S. Pranić (ORCID: https://orcid.org/0000-0003-1733-881X)
- Stefan M. Spalević (ORCID: https://orcid.org/0000-0003-0926-7345)
Institutions
- Universidad de La Laguna (ES)
- University of Banja Luka (BA)
- University of Belgrade (RS)
- Univerzitet Union Nikola Tesla (RS)
Publication Details
- Journal
- Mathematics
- Published
- 2025-06-06
- DOI
- https://doi.org/10.3390/math13121902
- Primary Topic
- Mathematical functions and polynomials
- Type
- article
- Field-Weighted Citation Impact
- 0.00