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On the error of multidimensional quadrature formulas for certain classes of functions |
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| Authors: | M. A. Romanov |
| Affiliation: | 1. Khabarovsk Division, Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia |
| Abstract: | We obtain regular (with respect to the power scale) estimates of the errors of multidimensional optimal quadrature formulas in spaces of periodic functions with constraints on Fourier coefficients in the ? p -norm for 1 < p < 2. |
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