论文信息 - A new lower bound for the number of nodes in cubature formulae of degree 4 n + 1 for some circularly symmetric integrals

A new lower bound for the number of nodes in cubature formulae of degree 4 n + 1 for some circularly symmetric integrals

For two classes of integrals it will be shown that the number of nodes of cubature formulae of degree 4n + 1, n > 1, will not attain Moller’s lower bound. Thus in these cases that bound has to be increased by 1.

Ronald Cools | Hans Joachim Schmid | R. Cools | H. Schmid

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[2] Ronald Cools,et al. On cubature formulae of degree 4k+1 attaining Möller's lower bound for integrals with circular symmetry , 1992 .

[3] Anny Haegemans,et al. Cubature formulas of degree nine for symmetric planar regions , 1975 .

[4] H. M. Möller,et al. Kubaturformeln mit minimaler Knotenzahl , 1976 .