On volume quotient functions (Q1928386)

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scientific article; zbMATH DE number 6121459
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On volume quotient functions
scientific article; zbMATH DE number 6121459

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    On volume quotient functions (English)
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    3 January 2013
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    The author introduces the notion of volume quotient function for star bodies in \(\mathbb{R}^n\). The main results of the paper (Theorem 1.2 and Theorem 1.4) are Brunn-Minkowski type inequalities for the volume quotient function of star bodies.
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    volume difference function
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    volume quotient function
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    radial Minkowski linear combination
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    radial Blaschke sum
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    harmonic Blaschke sum
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    star bodies in \(\mathbb{R}^n\)
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    Brunn-Minkowski type inequalities
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