Spline Quadrature and semi-classical orthogonal Jacobi Polynomials

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.

23 pages, section with fields added