On Smoothness of the Green Function for the Complement of a Rarefied Cantor-Type Set

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Author
Altun, M.
Goncharov, A.
Date
2011
Source Title
Constructive Approximation
Print ISSN
0176-4276
Electronic ISSN
1432-0940
Publisher
Springer Verlag
Volume
33
Issue
2
Pages
265 - 271
Language
English
Type
Article
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Abstract
Smoothness of the Green functions for the complement of rarefied Cantor-type sets is described in terms of the function Φ(δ)=(1/log 1/δ) that gives the logarithmic measure of sets. Markov's constants of the corresponding sets are evaluated. © 2010 Springer Science+Business Media, LLC.
Keywords
Cantor-type sets
Green's function
Markov's inequality
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http://hdl.handle.net/11693/11760
Published Version (Please cite this version)
http://dx.doi.org/10.1007/s00365-010-9092-9
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