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On a generalization of the plank problem

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General Inequalities 6

Abstract

A strip or a plank S in ℝn is a closed set bounded by two parallel hyperplanes. The distance of these hyperplanes is called the width of S. The minimal width of a convex closed set K is the minimal width of a strip containing K.

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References

  1. K. Ball, The plank problem in general normed spaces. Manuscript.

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  2. T. Bang, A solution of the “Plank problem”. Proc. Amer. Math. Soc. 2 (1951), 990 – 993.

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  3. B. Brindza and Zs. Páles, Jelentés az 1985. évi Schweitzer Mikl6s emlékversenyr6l (Report on the 1985 M. Schweitzer memorial competition, in Hungarian). Matematikai Lapok 13 (1982–1986), 149–169.

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© 1992 Springer Basel AG

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Páles, Z. (1992). On a generalization of the plank problem. In: Walter, W. (eds) General Inequalities 6. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 103. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7565-3_44

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  • DOI: https://doi.org/10.1007/978-3-0348-7565-3_44

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-7567-7

  • Online ISBN: 978-3-0348-7565-3

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