Abstract

Resorting to recent results on subperiodic trigonometric quadrature, we provide three product Gaussian quadrature formulas exact on algebraic polynomials of degree n on circular lunes. The first works on any lune, and has n 2 +O(n) cardinality. The other two have restrictions on the lune angular intervals, but their cardinality is n 2 /2 + O(n).

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