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Some inequalities for multiple integrals on the \(n\)-dimensional ellipsoid, spherical shell, and ball - MaRDI portal

Some inequalities for multiple integrals on the \(n\)-dimensional ellipsoid, spherical shell, and ball (Q370294)

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scientific article; zbMATH DE number 6209489
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Some inequalities for multiple integrals on the \(n\)-dimensional ellipsoid, spherical shell, and ball
scientific article; zbMATH DE number 6209489

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    Some inequalities for multiple integrals on the \(n\)-dimensional ellipsoid, spherical shell, and ball (English)
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    19 September 2013
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    Summary: The authors establish some new inequalities of Pólya type for multiple integrals on the \(n\)-dimensional ellipsoid, spherical shell, and ball, in terms of bounds of the higher order derivatives of the integrands. These results generalize the main result in the paper by \textit{F. Qi}, Acta Math. Hung. 84, No. 1--2, 19--26 (1999; Zbl 0963.26008)].
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