Asymptotics of the Errors of Complicated Cubature Formulas

V. I. Polovinkin

Matematičeskie trudy, Tome 7 (2004) no. 2, pp. 109-125.

Résumé

Convergence is studied of complicated cubature formulas at an arbitrary function of the classes $W_p^m(\Omega)$. Some formulas are deduced for the principal terms of integration errors. As a rule, the lattices of nodes are not assumed to be rectangular. The results are generalized to weighted cubature formulas.

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