On intersection and mixed intersection bodies (Q833336)

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scientific article; zbMATH DE number 5594056
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English
On intersection and mixed intersection bodies
scientific article; zbMATH DE number 5594056

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    On intersection and mixed intersection bodies (English)
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    12 August 2009
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    This paper collects various inequalities for mixed intersection bodies, which are analogous (or `dual', in a heuristic sense) to inequalities for mixed projection bodies, due to Lutwak. The results are consequences of former inequalities, proved by Zhao and Leng and by Lutwak, and of Minkowski's integral inequality. The paper concludes with some conjectures, motivated by `duality'.
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    dual mixed volume
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    intersection body
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    mixed intersection body
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