Sökning: "Interlacement properties"

Hittade 1 uppsats innehållade orden Interlacement properties.

  1. 1. Biorthogonal Polynomials

    Kandidat-uppsats, Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska fakulteten

    Författare :Grayson Webb; [2017]
    Nyckelord :Orthogonal polynomials; Biorthogonal polynomials; Totally positive kernel; Chebyshev system; Interlacement properties; Recurrence relations;

    Sammanfattning : In this thesis we present some fundamental results regarding orthogonal polynomials and biorthogonal polynomials, the latter defined as in the article "Cauchy Biorthogonal Polynomials", authored by Bertola, Gekhtman, and Szmigielski. We show that total positivity of the kernel can be weakened and how this implies that interlacement for biorthogonal polynomials holds in general. LÄS MER