3 papers
math.NA2026
Lagrange interpolation processes based on the zeros of anti-Gauss Jacobi polynomials
Patricia DÃaz de Alba, Luisa Fermo, Valerio Loi +1
This paper introduces and investigates a new Lagrange interpolation process based on the zeros of anti-Gauss Jacobi polynomials. Fundamental properties of anti-Gauss nodes, includi…
math.NA2026
Anti-Gauss Lagrange interpolation: Christoffel-Darboux form, barycentric representation, and orthogonal expansion
Patricia DÃaz de Alba, Luisa Fermo, Valerio Loi
The paper deals with new formulations of a Lagrange interpolant polynomial based on the nodes of the well-known anti-Gauss rule. A first representation is given in terms of the cla…
math.NA2025
Anti-Gauss cubature rules with applications to Fredholm integral equations on the square
Patricia Diaz de Alba, Luisa Fermo, Giuseppe Rodriguez
The purpose of this paper is to develop the anti-Gauss cubature rule for approximating integrals defined on the square whose integrand function may have algebraic singularities at…