Geodesic
Asymptotics of the Errors of Complicated Cubature Formulas
Matematičeskie trudy, Tome 7 (2004) no. 2, pp. 109-125

Voir la notice de l'article provenant de la source Math-Net.Ru

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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     author = {V. I. Polovinkin},
     title = {Asymptotics of the {Errors} of {Complicated} {Cubature} {Formulas}},
     journal = {Matemati\v{c}eskie trudy},
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V. I. Polovinkin. Asymptotics of the Errors of Complicated Cubature Formulas. Matematičeskie trudy, Tome 7 (2004) no. 2, pp. 109-125. http://geodesic.mathdoc.fr/item/MT_2004_7_2_a4/