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Two inequalities for volumes of convex bodies

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Abstract

Precise upper and lower bounds are given for that portion of a convex body cut off from the latter, in n-dimensional space, by a hyperplane passing through its centroid; a bound is also given for the whole volume in terms of relative n-diameters of Bernstein type.

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Literature cited

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Authors and Affiliations

  1. Central Economics-Mathematics Institute, Academy of Sciences of the USSR, USSR

    B. S. Mityagin

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  1. B. S. Mityagin
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Translated from Matematicheskie Zametki, Vol. 5, No. 1, pp. 99–106, January, 1969.

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Mityagin, B.S. Two inequalities for volumes of convex bodies. Mathematical Notes of the Academy of Sciences of the USSR 5, 61–65 (1969). https://doi.org/10.1007/BF01098719

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  • DOI: https://doi.org/10.1007/BF01098719

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