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Comparing the relative volume with the relative inradius and the relative width
Journal of Inequalities and Applications volume 2006, Article number: 54542 (2006)
Abstract
We consider subdivisions of a convex body in two subsets and. We obtain several inequalities comparing the relative volume: (1) with the minimum relative inradius, (2) with the maximum relative inradius, (3) with the minimum relative width, and (4) with the maximum relative width. In each case, we obtain the best upper and lower estimates for subdivisions determined by general hypersurfaces and by hyperplanes.
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Cerdán, A. Comparing the relative volume with the relative inradius and the relative width. J Inequal Appl 2006, 54542 (2006). https://doi.org/10.1155/JIA/2006/54542
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DOI: https://doi.org/10.1155/JIA/2006/54542