Now showing items 1-5 of 5

    • 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 ...
    • Chebyshev polynomials on generalized Julia sets 

      Alpan, G. (Springer, 2016)
      Let (fn)n=1∞ be a sequence of non-linear polynomials satisfying some mild conditions. Furthermore, let Fm(z) : = (fm∘ fm - 1⋯ ∘ f1) (z) and ρm be the leading coefficient of Fm. It is shown that on the Julia set J(fn), the ...
    • Longest increasing subsequences in involutions avoiding patterns of length three 

      Mansour, T.; Yıldırım, Gökhan (TÜBİTAK, 2019-07)
      We study the longest increasing subsequences in random involutions that avoid the patterns of length three under the uniform probability distribution. We determine the exact and asymptotic formulas for the average length ...
    • Some asymptotics for extremal polynomials 

      Alpan, Gökalp; Goncharov, Alexander; Hatinoğlu, B. (Springer, 2016)
      We review some asymptotics for Chebyshev polynomials and orthogonal polynomials. Our main interest is in the behaviour of Widom factors for the Chebyshev and the Hilbert norms on small sets such as generalized Julia sets.
    • Spaces of Whitney functions with basis 

      Goncharov, A. P. (Wiley - V C H Verlag GmbH & Co. KGaA, 2000)
      We construct a basis in the spaces of Whitney functions ε(Κ) for two model cases, where -Κ⊂ℝ is a sequence of closed intervals tending to a point. In the proof we use a convolution property for the coefficients of scaling ...