Now showing items 1-6 of 6

    • 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 the spaces of C∞-functions on Cantor-type sets 

      Goncharov, A. (Springer New York LLC, 2006)
      We construct a topological basis in the space of Whitney functions given on the Cantor-type set.
    • Existence of basis in some Whitney spaces 

      Keşir, Mustafa (Bilkent University, 2003)
      Existence of basis in locally convex spaces has been a hot subject in functional analysis for more than 40 years. We will give some partial solutions to this well-known problem. We will demonstrate two cases of Cantor-type ...
    • 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 ...
    • A local version of the Pawlucki-Plesniak extension operator 

      Altun, M.; Goncharov, A. (Elsevier, 2005-01)
      Using local interpolation of Whitney functions, we generalize the Pawłucki and Pleśniak approach to construct a continuous linear extension operator. We show the continuity of the modified operator in the case of generalized ...
    • On Smoothness of the Green Function for the Complement of a Rarefied Cantor-Type Set 

      Altun, M.; Goncharov, A. (Springer Verlag, 2011)
      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 ...