Celik, S.Goncharov, A.2016-02-082016-02-0820120066-2216http://hdl.handle.net/11693/21239We consider a compact set K āŠ‚ ā„ 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 gā„‚\K is estimated. Markov's constants of the corresponding set are evaluated. Ā© Instytut Matematyczny PAN, 2012.EnglishGreen functionModulus of continuityNearly Chebyshev polynomialsSmoothness of the Green function for a special domainArticle10.4064/ap106-0-91730-6272