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.
Saved in:
Main Author: | Mohammad Taghi Heydari |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2022-01-01
|
Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2022/1172007 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Subharmonics with Minimal Periods for Convex Discrete Hamiltonian Systems
by: Honghua Bin
Published: (2013-01-01) -
Bi-Lipschitz Mappings and Quasinearly Subharmonic Functions
by: Oleksiy Dovgoshey, et al.
Published: (2010-01-01) -
On the mean value property of superharmonic and
subharmonic functions
by: Robert Dalmasso
Published: (2006-01-01) -
Complex Convexity of Musielak-Orlicz Function Spaces Equipped with the p-Amemiya Norm
by: Lili Chen, et al.
Published: (2014-01-01) -
Application of maximum principle optimizing active current subharmonic filter
by: V. N. Anosov, et al.
Published: (2019-12-01)