Spline quadrature and semi-classical orthogonal Jacobi polynomials

03/15/2021

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by   Helmut Ruhland, et al.

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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 ≥ 2 this theory depends on a conjecture.