Inverse problems, Sobolev–Chebyshev polynomials and asymptotics

• Datum: 2023
• 1. Verfasser: Molano, Luis Alejandro Molano
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2023
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/7293
• Назва журналу: 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: $$\...