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arxiv: 1608.03435 · v1 · pith:JGQVV2FUnew · submitted 2016-08-11 · 🧮 math.MG

Volume difference inequalities

classification 🧮 math.MG
keywords bodiesdifferenceinequalitiesvolumearbitraryareasdistanceestimating
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We prove several inequalities estimating the distance between volumes of two bodies in terms of the maximal or minimal difference between areas of sections or projections of these bodies. We also provide extensions in which volume is replaced by an arbitrary measure.

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