Determinant inequalities for sieved ultraspherical polynomials

J. Bustoz and I. S. Pyung

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 25, 1-7

Abstract:

Paul Turan first observed that the Legendre polynomials satisfy the inequality P n 2 ( x ) − P n − 1 ( x ) P n ( x ) > 0 , − 1 < x < 1 . Inequalities of this type have since been proved for both classical and nonclassical orthogonal polynomials. In this paper, we prove such an inequality for sieved orthogonal polynomials of the second kind.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:369148

DOI: 10.1155/S0161171201004896

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