Computation of capacity

نویسندگان

  • Thomas Ransford
  • Jérémie Rostand
چکیده

This article introduces a method for computing upper and lower bounds for the logarithmic capacity of a compact plane set. If the set has the Hölder continuity property, then these bounds converge to the value of the capacity. A number of examples are discussed in detail, including the Cantor middle-third set, for which we estimate c(E) ≈ 0.220949102189507.

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عنوان ژورنال:
  • Math. Comput.

دوره 76  شماره 

صفحات  -

تاریخ انتشار 2007