Published January 1, 2012 | Version v1
Journal article Open

Smoothness of the Green function for a special domain

  • 1. TUBITAK, UEKAE PK 74, TR-41470 Gebze, Kocaeli, Turkey
  • 2. Bilkent Univ, Dept Math, TR-06800 Ankara, Turkey

Description

We consider a compact set K subset of R in the form of the union of a sequence of segments. By means of nearly Chebyshev polynomials for K, the modulus of continuity of the Green functions g(C\K) is estimated. Markov's constants of the corresponding set are evaluated.

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