Lower bound of extremal Pompeiu radius for half of cone

L.V. Elets

doi:10.15421/240910

Lower bound of extremal Pompeiu radius for half of cone

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

Abstract

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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References

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