Geodesic
On cubature formulas exact for Haar polynomials in the case of two-variable functions satisfying the general Lipschitz condition
Numerical methods and programming, Tome 14 (2013) no. 1, pp. 132-140.

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A number of upper error estimates are obtained for the cubature formulas possessing the Haar $d$-property in the case of two-variable functions belonging to the $\operatorname{Lip}(L_1,L_2)$ classes and satisfying the general Lipschitz condition. It is shown that, on the classes under consideration, the errors of the minimal cubature formulas possessing the Haar $d$-property have the best convergence rate to zero.
Keywords: Haar $d$-property; errors of cubature formulas; $\operatorname{Lip}(L_1,L_2)$ classes of functions. 
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     author = {K. A. Kirillov},
     title = {On cubature formulas exact for {Haar} polynomials in the case of two-variable functions satisfying the general {Lipschitz} condition},
     journal = {Numerical methods and programming},
     pages = {132--140},
     publisher = {mathdoc},
     volume = {14},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2013_14_1_a15/}
}
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K. A. Kirillov. On cubature formulas exact for Haar polynomials in the case of two-variable functions satisfying the general Lipschitz condition. Numerical methods and programming, Tome 14 (2013) no. 1, pp. 132-140. http://geodesic.mathdoc.fr/item/VMP_2013_14_1_a15/