The Precision Space of Interpolatory Cubature Formula

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Claudia Fassino, Eva Riccomagno


Methods from Commutative Algebra and Numerical Analysis are combined to address a problem common to many disciplines: the estimation of the expected value of a polynomial of a random vector using a linear combination of a finite number of its values. In this work we remark on the error estimation in cubature formula for polynomial functions and introduce the notion of a precision space for a cubature rule.

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