Geodesic
Error estimates of cubature formulas exact for Haar polynomials in classes of two-variable functions satisfying a general Lipschitz condition
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 12, pp. 1985-1996 
K. A. Kirillov. Error estimates of cubature formulas exact for Haar polynomials in classes of two-variable functions satisfying a general Lipschitz condition. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 12, pp. 1985-1996. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_12_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Upper error estimates are obtained for cubature formulas with the Haar $d$-property in the classes $\mathrm{Lip}(L_1,L_2)$ of two-variable functions satisfying a general Lipschitz condition. It is shown that the error of minimal cubature formulas possessing the Haar $d$-property have the best order of convergence to zero in the indicated classes.

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