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Ukrainian Mathematical Journal

, Volume 61, Issue 1, pp 71–85 | Cite as

On one extremal problem of Pompeiu sets

  • L. V. Elets
  • P. A. Masharov
Article
  • 29 Downloads

We determine upper bounds for the least radius of a ball in which a given set is a Pompeiu set (the set considered is a half right circular cone). The obtained estimates significantly improve known results.

Keywords

Extremal Problem Integral Geometry Close Location Circular Cone Half Cone 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  • L. V. Elets
    • 1
  • P. A. Masharov
    • 2
  1. 1.Institute of Applied Mathematics and MechanicsUkrainian National Academy of SciencesDonetskUkraine
  2. 2.Donetsk National UniversityDonetskUkraine

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