Turán inequalities for three-term recurrences with monotonic coefficients

Ilia Krasikov

doi:10.1016/j.jat.2011.04.004

Turán inequalities for three-term recurrences with monotonic coefficients

Ilia Krasikov^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	1269-1299
Number of pages	31
Journal	Journal of Approximation Theory
Volume	163
Issue number	9
DOIs	https://doi.org/10.1016/j.jat.2011.04.004
State	Published - Sep 2011
Externally published	Yes

Keywords

Extreme zeros
Turán inequalities

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10.1016/j.jat.2011.04.004

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abstract = "We establish some new Tur{\'a}n type inequalities for orthogonal polynomials defined by a three-term recurrence with monotonic coefficients. We deduce as a corollary asymptotic bounds on the extreme zeros of orthogonal polynomials with polynomially growing coefficients of the three-term recurrence.",

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Turán inequalities for three-term recurrences with monotonic coefficients

Abstract

Keywords

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