International Conference on Multivariate Approximation
September 24-27, 2011

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On error estimates of cubature formulas exact for Haar polynomials

Mikhail Noskov

The talk contains the results of the research of error functionals norms of cubature formulas exact for Haar polynomials in Sobol’ spaces. The upper and lower estimates for the norms in the spaces $H_\alpha$ and $S_p$, including the estimates for weight cubature formulas, are obtained.