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Spline Quadrature and semi-classical orthogonal Jacobi Polynomials

Published 15 Mar 2021 in math.NA and cs.NA | (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.

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