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.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 1, pp. 61–72, January, 2009.
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Elets, L.V., Masharov, P.A. On one extremal problem of Pompeiu sets. Ukr Math J 61, 71–85 (2009). https://doi.org/10.1007/s11253-009-0195-z
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DOI: https://doi.org/10.1007/s11253-009-0195-z