Spline Quadrature and semi-classical orthogonal Jacobi Polynomials (2103.08666v6)

Abstract: A theory of spline quadrature rules for arbitrary continuity class in a closed interval $[a, b]$ with arbitrary nonuniform subintervals based on semi-classical orthogonal Jacobi polynomials is proposed. For continuity class $c \ge 2$ this theory depends on a conjecture.