Chebyshev's recursion: Analytic principles and applications

• Date: 1993
• Main Authors: Korzh, S. A., Ovcharenko, I. E., Ugrinovskii, R. A., Корж, С. А., Овчаренко, И. Е., Угриновский, Р. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5851
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study different algebraic and algorithmic constructions related to the scalar product on the space of polynomials defined on the real axis and on the unit circle and to the Chebyshev procedure. A modern version of the Chebyshev recursion ($(m) - T$-recursion) is applied to check whether the Hanke...