On one extremal problem of Pompeiu sets |
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| Authors: | L V Elets P A Masharov |
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| Institution: | (1) Institute of Applied Mathematics and Mechanics, Ukrainian National Academy of Sciences, Donetsk, Ukraine;(2) Donetsk National University, Donetsk, Ukraine |
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| Abstract: | 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.
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 1, pp. 61–72, January, 2009. |
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