Convex Sets and Subharmonicity of the Inverse Norm Function
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.
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2022/1172007 |
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| _version_ | 1832547146043228160 |
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| author | Mohammad Taghi Heydari |
| author_facet | Mohammad Taghi Heydari |
| author_sort | Mohammad Taghi Heydari |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-51d3d10776004523893eb1f13b6be9fd |
| institution | Kabale University |
| issn | 1687-0409 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-51d3d10776004523893eb1f13b6be9fd2025-02-03T06:45:54ZengWileyAbstract and Applied Analysis1687-04092022-01-01202210.1155/2022/1172007Convex Sets and Subharmonicity of the Inverse Norm FunctionMohammad Taghi Heydari0Department of MathematicsIn 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.http://dx.doi.org/10.1155/2022/1172007 |
| spellingShingle | Mohammad Taghi Heydari Convex Sets and Subharmonicity of the Inverse Norm Function Abstract and Applied Analysis |
| title | Convex Sets and Subharmonicity of the Inverse Norm Function |
| title_full | Convex Sets and Subharmonicity of the Inverse Norm Function |
| title_fullStr | Convex Sets and Subharmonicity of the Inverse Norm Function |
| title_full_unstemmed | Convex Sets and Subharmonicity of the Inverse Norm Function |
| title_short | Convex Sets and Subharmonicity of the Inverse Norm Function |
| title_sort | convex sets and subharmonicity of the inverse norm function |
| url | http://dx.doi.org/10.1155/2022/1172007 |
| work_keys_str_mv | AT mohammadtaghiheydari convexsetsandsubharmonicityoftheinversenormfunction |