On conjectures of Stenger in the theory of orthogonal polynomials

Abstract The conjectures in the title deal with the zeros xj $x_{j}$, j=1,2,…,n $j=1,2, \ldots ,n$, of an orthogonal polynomial of degree n>1 $n>1$ relative to a nonnegative weight function w on an interval [a,b] $[a,b]$ and with the respective elementary Lagrange interpolation polynomials ℓk(...

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Bibliographic Details
Main Authors: Walter Gautschi, Ernst Hairer
Format: Article
Language:English
Published: SpringerOpen 2019-06-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-2107-6