Inverse problems, Sobolev–Chebyshev polynomials and asymptotics

• Date: 2023
• Main Author: Molano, Luis Alejandro Molano
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7293
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 Let $(u,v)$ be a pair of quasidefinite and symmetric linear functionals with $\{P_{n}\}_{n\geq0}$ and $\{Q_{n}\}_{n\geq0}$ as respective sequences of monic orthogonal polynomial (SMOP). We define a sequence of monic polynomials $\{R_{n}\}_{n\geq0}$ as follows: $$\...