Convex Sets and Subharmonicity of the Inverse Norm Function

Mohammad Taghi Heydari

Abstract and Applied Analysis, 2022, vol. 2022, issue 1

Abstract: In this paper, we show that in order for a proper compact subset K of plane ℝ2 to be convex, it is necessary and sufficient that inverse norm function be subharmonic.

Date: 2022
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https://doi.org/10.1155/2022/1172007

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2022:y:2022:i:1:n:1172007

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