Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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SOME GEOMETRIC INEQUALITIES OF MATHEMATICAL CONDUCTANCE

  • Chung, Bo-Hyun (Mathematics Section, College of Science and Technology Hongik University)
  • Received : 2013.01.11
  • Accepted : 2013.04.04
  • Published : 2013.05.15
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Abstract

Let $D_0$, $D_1{\subset}\bar{R}^n$ be non-empty sets and let ${\Gamma}$ be the family of all closed curves which join $D_0$ to $D_1$. In this note, we introduce the concept of the mathematical conductance $C({\Gamma})$ of a curve family ${\Gamma}$ and examine some basic properties of mathematical conductance. And we obtain the inequalities in connection with capacity of condensers.

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Acknowledgement

Supported by : Hongik University

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