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      Smoothness of the Green function for a special domain

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      Author
      Celik, S.
      Goncharov, A.
      Date
      2012
      Source Title
      Annales Polonici Mathematici
      Print ISSN
      0066-2216
      Electronic ISSN
      1730-6272
      Publisher
      Polska Akademia Nauk
      Volume
      106
      Pages
      113 - 126
      Language
      English
      Type
      Article
      Item Usage Stats
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      94
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      Abstract
      We consider a compact set K ⊂ 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 gℂ\K is estimated. Markov's constants of the corresponding set are evaluated. © Instytut Matematyczny PAN, 2012.
      Keywords
      Green function
      Modulus of continuity
      Nearly Chebyshev polynomials
      Permalink
      http://hdl.handle.net/11693/21239
      Published Version (Please cite this version)
      http://dx.doi.org/10.4064/ap106-0-9
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      • Department of Mathematics 614
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