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A Brunn–Minkowski-Type Inequality

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Abstract

We formulate and discuss a conjecture that might strengthen the Brunn–Minkowski inequality.

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References

  1. Burago, Yu and Zalgaller, V. A.: Geometric Inequalities, Springer-Verlag, Berlin, 1988.

    Google Scholar 

  2. Diskant, V. I.: A generalization of Bonnesen's inequalities, Soviet Math. Dokl. 14 (1973), 1728–1731.

    Google Scholar 

  3. Groemer, H.: Stability of geometric inequalities, in: P. M. Gruber and J. M. Wills (eds), Handbook of Convex Geometry, North-Holland, Amsterdam, 1993, pp. 125–150.

    Google Scholar 

  4. Lyusternik, L. A.: Die Brunn-Minkowskische Ungleichung für beliebige messbare Mengen, C.R. Acad. Sci. URSS 8 (1935), 55–58.

    Google Scholar 

  5. Rogers, C. A. and Shephard, G. C.: Some extremal problems for convex bodies, Mathematika 5 (1958), 93–102.

    Google Scholar 

  6. Schneider, R.: Convex bodies: The Brunn-Minkowski theory, Encyclopedia Math. Appl. 44, Cambridge University Press, Cambridge, 1993.

    Google Scholar 

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Authors and Affiliations

  1. School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, 69978, Israel

    S. Dar

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  1. S. Dar
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Dar, S. A Brunn–Minkowski-Type Inequality. Geometriae Dedicata 77, 1–9 (1999). https://doi.org/10.1023/A:1005132006433

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  • DOI: https://doi.org/10.1023/A:1005132006433

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