Çelik, Serkan2016-01-082016-01-082010http://hdl.handle.net/11693/15078Ankara : The Department of Mathematics and the Enstitute of Engineering and Sciences of Bilkent University, 2010.Includes bibliographical references leaves 54-55).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.viii, 55 leavesEnglishinfo:eu-repo/semantics/openAccessSmoothness of the Green FunctionPotential TheoryQA355 .C44 2010Smoothness of functions.Moduli theory.Green's functions.Smoothness of the green function for some special compact setsThesisB122775