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On the approximate calculation of double integrals with weight function (Q2718815)

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scientific article; zbMATH DE number 1597241
Language Label Description Also known as
English
On the approximate calculation of double integrals with weight function
scientific article; zbMATH DE number 1597241

    Statements

    author
    Voldemar Arro
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    publication date
    9 May 2001
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    zbMATH Keywords
    multivariate singular integral
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    optimal cubature formula
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    weight function
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    approximate formula
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    title
    On the approximate calculation of double integrals with weight function (English)
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    review text
    The author obtains cubature formulas with weight function \(x^{\mu } (\mu >-1)\) which are optimal on given sets of functions for the approximate calculation of a double integral. One of the studied formulas consists of line integrals which can be estimated by optimal quadrature formulas. The optimal cubature formulas include both knots and coefficients of the corresponding values of optimal quadrature formulas. The application of the cubature formula to the calculation of double integrals over the domain of integration bounded by a parabolic curve is shown.
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    Identifiers

    Mathematics Subject Classification ID
    65D32
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    41A55
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    41A63
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    zbMATH DE Number
    1597241
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