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Construction of cubature formulas with minimal number of nodes

Gaybulla Ismatullaev)V.I. Romanovskiy Institute of mathematics, Uzbekistan Academy of Sciences, University str. 4b, Tashkent 100174, UzbekistanSayfiddin Bakhromov)National University of Uzbekistan named after Mirzo Ulugbek, University str. 4, Tashkent 100174, UzbekistanRavshan Mirzakabilov)V.I. Romanovskiy Institute of mathematics, Uzbekistan Academy of Sciences, University str. 4b, Tashkent 100174, Uzbekistan

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In the present work the problem on construction of cubature formulas with number of nodes equal to the lower bound for a domain is considered, using orthogonal polynomials as well as the method of undefined parameters.

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