Method of Generalized Moment Representations in the Theory of Rational Approximation (A Survey)

• Date: 2003
• Main Authors: Holub, A. P., Голуб, А. П.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2003
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3909
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We give a survey of the method of generalized moment representations introduced by Dzyadyk in 1981 and its applications to Padé approximations. In particular, some properties of biorthogonal polynomials are investigated and numerous important examples are given. We also consider applications of this...