Smoothness of the green function for some special compact sets
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Smoothness of the Green functions for some special compact sets, which are sequences of closed intervals with certain parameters, is described in terms of the function ϕ(δ) = 1 log 1 δ that gives the logarithmic measure of sets. As a tool, we use the so-called nearly Chebyshev polynomials and Lagrange interpolation. Moreover, some concepts of potential theory are explained with illustrative examples.