Smoothness of the Green function for a special domain

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Smoothness of the Green function for a special domain.pdf (327.01 KB)

Date

2012

Authors

Celik, S.
Goncharov, A.

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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.

Source Title

Annales Polonici Mathematici

Publisher

Polska Akademia Nauk

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Keywords

Green function, Modulus of continuity, Nearly Chebyshev polynomials

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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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Scholarly Publications - Mathematics

Language

English

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Article