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- W2182018081 abstract "The problem of constructing cubature formulas that integrate a given collection of functions exactly has been earlier considered mainly in the cases when these functions are algebraic or trigonometric polynomials. The approximate integration formulas exact for finite Haar sums can be found in the monograph [1], the accuracy of approximate integration formulas for finite Haar sums was used there for deriving the error of these formulas. A description of all minimal weighted quadrature formulas possessing the Haar d-property, i.e., formulas exact for Haar polynomials of degree at most d, was given in [2]. In the two–dimensional case, the problem of constructing cubature formulas exact for Haar polynomials was considered in [3,4]. In those papers the following lower estimate for number N of nodes of cubature formulas possessing the Haar d-property was obtained:" @default.
- W2182018081 created "2016-06-24" @default.
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- W2182018081 date "2014-07-01" @default.
- W2182018081 modified "2023-09-26" @default.
- W2182018081 title "On Minimal Cubature Formulas Exact for Haar Polynomials of Low Degrees in the Two-Dimensional Case" @default.
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