摘要
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).
基金
The research is supported by the“ex-60%”funds
by the biennial project CPDA124755 of the University of Padova,and by the GNCS-INdAM.