Now showing items 1-6 of 6

    • Asymptotic properties of Jacobi matrices for a family of fractal measures 

      Alpan, G.; Goncharov, A.; Şimşek, A. N. (Taylor and Francis, 2018)
      We study the properties and asymptotics of the Jacobi matrices associated with equilibrium measures of the weakly equilibrium Cantor sets. These family of Cantor sets were defined, and different aspects of orthogonal ...
    • Asymptotics of extremal polynomials for some special cases 

      Alpan, Gökalp (Bilkent University, 2017-05)
      We study the asymptotics of orthogonal and Chebyshev polynomials on fractals. We consider generalized Julia sets in the sense of Br uck-B uger and weakly equilibrium Cantor sets which was introduced in [62]. We give ...
    • 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 ...
    • Bases in Banach spaces of smooth functions on Cantor-type sets 

      Goncharov, A. P.; Ozfidan, N. (Elsevier, 2011)
      We suggest a Schauder basis in Banach spaces of smooth functions and traces of smooth functions on Cantor-type sets. In the construction, local Taylor expansions of functions are used. © 2011 Elsevier Inc.
    • Widom factors 

      Goncharov, A.; Hatinoğlu, B. (Springer Netherlands, 2015)
      Given a non-polar compact set K,we define the n-th Widom factor W<inf>n</inf>(K) as the ratio of the sup-norm of the n-th Chebyshev polynomial on K to the n-th degree of its logarithmic capacity. By G. Szegő, the sequence ...
    • 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 ...