Abstract
Let pn denote the orthonormal polynomials associated with a measure μ with compact support on the real line. In a recent paper, we showed there is a close relationship between the spacing of zeros of successive orthogonal polynomials pn,pn−1, and uniform bounds on the orthogonal polynomials in subintervals of the support. In this paper, we show there is also a relationship between asymptotics for the spacing of zeros of pn−1,pn, and pointwise asymptotics for the orthogonal polynomials.
Original language | English |
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Article number | 105804 |
Pages (from-to) | 105804 |
Number of pages | 1 |
Journal | Journal of Approximation Theory |
Volume | 281 |
DOIs | |
State | Published - 1 Sep 2022 |
Bibliographical note
Funding Information:Research supported by National Science Foundation, USA grant DMS1800251 .
Publisher Copyright:
© 2022 Elsevier Inc.
Keywords
- Orthogonal polynomials
- Pointwise asymptotics