Smoothness of the Green function for a special domain
Date
2012
Authors
Celik, S.
Goncharov, A.
Editor(s)
Advisor
Supervisor
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Source Title
Annales Polonici Mathematici
Print ISSN
0066-2216
Electronic ISSN
1730-6272
Publisher
Polska Akademia Nauk
Volume
106
Issue
Pages
113 - 126
Language
English
Type
Journal Title
Journal ISSN
Volume Title
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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.