Browsing by Subject "Orthogonal polynomials"

Now showing items 1-5 of 5

    • Article  

      An extended Stein-type covariance identity for the Pearson family with applications to lower variance bounds 

      Afendras, Georgios; Papadatos, Nickos; Papathanasiou, Vassilis (2011)
      For an absolutely continuous (integer-valued) r.v. X of the Pearson (Ord) family, we show that, under natural moment conditions, a Stein-type covariance identity of order k holds (cf. [Goldstein and Reinert, J. Theoret. ...
    • Article  

      Finite-term relations for planar orthogonal polynomials 

      Putinar, M.; Stylianopoulos, Nikos S. (2007)
      We prove by elementary means that, if the Bergman orthogonal polynomials of a bounded simply-connected planar domain, with sufficiently regular boundary, satisfy a finite-term relation, then the domain is algebraic and ...
    • Article  

      On the zeros of asymptotically extremal polynomial sequences in the plane 

      Saff, E. B.; Stylianopoulos, Nikos S. (2015)
      Let E be a compact set of positive logarithmic capacity in the complex plane and let {Pn(z)}1∞ be a sequence of asymptotically extremal monic polynomials for E in the sense that lim supn→∞{norm of matrix}Pn{norm of ...
    • Article  

      Open problems in constructive function theory 

      Baratchart, L.; Martínez-Finkelshtein, A.; Jimenez, D.; Lubinsky, D. S.; Mhaskar, H. N.; Pritsker, I.; Putinar, M.; Stylianopoulos, Nikos S.; Totik, V.; Varju, P.; Xu, Y. (2006)
      A number of open problems on constructive function theory are presented. These were submitted by participants of Constructive Function Theory Tech-04. Copyright © 2006, Kent State University.
    • Article  

      Orthogonal polynomials for area-type measures and image recovery 

      Saff, E. B.; Stahl, H.; Stylianopoulos, Nikos S.; Totik, V. (2015)
      Let G be a finite union of disjoint and bounded Jordan domains in the complex plane, let K be a compact subset of G, and consider the set G∗ obtained from G by removing K