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.
|Number of pages||1|
|Journal||Journal of Approximation Theory|
|State||Published - 1 Sep 2022|
Bibliographical noteFunding Information:
Research supported by National Science Foundation, USA grant DMS1800251 .
© 2022 Elsevier Inc.
- Orthogonal polynomials
- Pointwise asymptotics