Lower bound of extremal Pompeiu radius for half of cone

L.V. Elets (Institute of Applied Mathematics and Mechanics, NAS of Ukraine)


Lower estimates are established for the smallest radius of a ball, in which a given set is the Pompeiu set. As the set, the half of the straight circular cone with radius of base 1 and attitude $$$h > 1$$$ is considered. For $$$h > 3$$$ the exact value of extreme Pompeiu radius is obtained.


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DOI: https://doi.org/10.15421/240910



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ISSN (Online): 2664-5009
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