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
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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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