凸集与逆范数函数的次调和性

Q3 Mathematics Abstract and Applied Analysis Pub Date : 2022-01-25 DOI:10.1155/2022/1172007

M. Heydari

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引用次数: 0

摘要

在本文中，我们证明了对于平面的适当紧子集Kℝ 2是凸的，逆范数函数是次调和的是必要的，也是充分的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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

ℝ^{2}

to be convex, it is necessary and sufficient that inverse norm function be subharmonic.

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来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.