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arXiv · 1101.3204

Turán Inequalities for Three Term Recurrences with Monotonic Coefficients

Ilia Krasikov
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Abstract

We establish some new Turán's type inequalities for orthogonal polynomials defined by a three-term recurrence with monotonic coefficients. As a corollary we deduce asymptotic bounds on the extreme zeros of orthogonal polynomials with polynomially growing coefficients of the three-term recurrence.

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Ilia Krasikov. 2011-01-17. Turán Inequalities for Three Term Recurrences with Monotonic Coefficients. https://arxiv.org/abs/1101.3204

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