Upper estimate for the extremal Pompeiu radius for the half of the cone (Q2901585)
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scientific article; zbMATH DE number 6062134
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Upper estimate for the extremal Pompeiu radius for the half of the cone |
scientific article; zbMATH DE number 6062134 |
Statements
31 July 2012
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Pompeiu problem
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Pompeiu set
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upper estimate
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Pompeiu radius
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0.93826336
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0.8266942
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0.80884516
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0.8084015
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0.8079305
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Upper estimate for the extremal Pompeiu radius for the half of the cone (English)
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The local version of the Pompeiu problem is considered. The set is presented by the half of the circular straight cone with the radius of base equal to one. Upper estimates for the smallest radius of the ball, in which the given set is a Pompeiu set are obtained. The estimates in this paper essentially improve the known results. In particularly, they are R. Gey and C. A. Berenstein's estimates. The paper in question is of theoretical type. It can be used in different fields of mathematics.
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