Open AccessConvex Sets and Subharmonicity of the Inverse Norm Function
Author(s) -
Mohammad Taghi Heydari
Publication year - 2022
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2022/1172007
Subject(s) - mathematics , inverse , norm (philosophy) , convex function , regular polygon , subharmonic , inverse function , combinatorics , pure mathematics , geometry , quantum mechanics , law , physics , nonlinear system , political science
In this paper, we show that in order for a proper compact subset K of plane ℝ 2 to be convex, it is necessary and sufficient that inverse norm function be subharmonic.
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