Now showing items 1-13 of 13

    • Approximation of equilibrium measures by discrete measures 

      Alpan, Gökalp (Bilkent University, 2012)
      Basic notions of potential analysis are given. Equilibrium measures can be approximated by discrete measures by means of Fekete points and Leja sequences. We give the sets for which exact locations of Fekete points and ...
    • Bases in banach spaces of smooth functions on cantor-type sets 

      Özfidan, Necip (Bilkent University, 2013)
      We construct Schauder bases in the spaces of continuous functions C p (K) and in the Whitney spaces E p (K) where K is a Cantor-type set. Here different Cantortype sets are considered. In the construction, local ...
    • Consistency in house allocation problems 

      Ergin, Haluk İ (Bilkent University, 1999)
    • Extension operators for spaces of infinitely differentiable functions 

      Altun, Muhammed (Bilkent University, 2005)
      We start with a review of known linear continuous extension operators for the spaces of Whitney functions. The most general approach belongs to PawÃlucki and Ple´sniak. Their operator is continuous provided that the ...
    • Extension problem and bases for spaces of infinitely differentiable functions 

      Merpez, Zeliha Ural (Bilkent University, 2017-04)
      We examine the Mityagin problem: how to characterize the extension property in geometric terms. We start with three methods of extension for the spaces of Whitney functions. One of the methods was suggested by B. S. Mityagin: ...
    • Geometric characterization of extension property for model compact sets 

      Altun, Muhammed (Bilkent University, 2000)
    • Interpolating bases in the spaces of C(formula)-functions on cantor-type sets 

      Özfidan, Necip (Bilkent University, 2006)
      In this work by using the method of local interpolat ions suggested in [9] we construct topological bases in the spaces of CP-functions defined on uniformly perfect compact sets of Cantor type. Elements of the basis are ...
    • Linear topological structure of spaces of Whitney functions defined on sequences of points 

      Zeki, Mustafa (Bilkent University, 2002)
      In this work we consider the spaces of Whitney functions defined on convergent sequences of points.By means of linear topological invariants we analyze linear topological structure of these spaces .Using diametral dimension ...
    • Logarithmic dimension and bases in whitney spaces 

      Şengül, Yasemin (Bilkent University, 2006)
      In generalization of [3] we will give the formula for the logarithmic dimension of any Cantor-type set. We will demonstrate some applications of the logarithmic dimension in Potential Theory. We will construct a polynomial ...
    • Numerical study of orthogonal polynomials for fractal measures 

      Şimşek, Ahmet Nihat (Bilkent University, 2016-07)
      In recent years, potential theory has an essential effect on approximation theory and orthogonal polynomials. Basic concepts of the modern theory of general orthogonal polynomials are described in terms of Potential Theory. ...
    • Smoothness of the green function for some special compact sets 

      Çelik, Serkan (Bilkent University, 2010)
      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 ...
    • Smoothness properties of Green's functions 

      Türkün, Can (Bilkent University, 2014)
      Basic notions of potential theory are explained with illustrative examples. Many important properties, including the characteristic ones, of Green’s functions that are defined by the help of equilibrium measures are ...
    • Widom Factors 

      Hatinoğlu, Burak (Bilkent University, 2014)
      In this thesis we recall classical results on Chebyshev polynomials and logarithmic capacity. Given a non-polar compact set K, we define the n-th Widom factor Wn(K) as the ratio of the sup-norm of the n-th Chebyshev ...