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2 results

  • Bounds for zeros of Meixner and Kravchuk polynomials

  • Part of
  • A. Jooste, K. Jordaan
  • Journal:
    LMS Journal of Computation and Mathematics / Volume 17 / Issue 1 / 2014
    Published online by Cambridge University Press:
    01 April 2014, pp. 47-57
    • Article
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  • The zeros of certain different sequences of orthogonal polynomials interlace in a well-defined way. The study of this phenomenon and the conditions under which it holds lead to a set of points that can be applied as bounds for the extreme zeros of the polynomials. We consider different sequences of the discrete orthogonal Meixner and Kravchuk polynomials and use mixed three-term recurrence relations, satisfied by the polynomials under consideration, to identify bounds for the extreme zeros of Meixner and Kravchuk polynomials.

  • ON LITTLEWOOD-PALEY FUNCTIONS ASSOCIATED WITH BESSEL OPERATORS

  • J. J. BETANCOR, J. C. FARIÑA, A. SANABRIA
  • Journal:
    Glasgow Mathematical Journal / Volume 51 / Issue 1 / January 2009
    Published online by Cambridge University Press:
    01 January 2009, pp. 55-70
    Print publication:
    January 2009
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  • In this paper, we study Lp-boundedness properties for higher order Littlewood-Paley g-functions in the Bessel setting. We use the Calderón-Zygmund theory in a homogeneous-type space (in the sense of Coifman and Weiss) ((0, ∞), d, γα), where d represents the usual metric on (0, ∞) and γα denotes the doubling measure on (0, ∞) with respect to d defined by dγα(x) = x2α+1dx, with α > −1/2.