SOME GEOMETRIC INEQUALITIES OF MATHEMATICAL CONDUCTANCE

Abstract

Let D0, D1 ⊂ R be non-empty sets and let Γ be the family of all closed curves which join D0 to D1. In this note, we introduce the concept of the mathematical conductance C(Γ) of a curve family Γ and examine some basic properties of mathematical conductance. And we obtain the inequalities in connection with capacity of condensers.

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