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

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...

Повний опис

Збережено в:
Бібліографічні деталі
Дата:2003
Автори: Holub, A. P., Голуб, А. П.
Формат: Стаття
Мова:Українська
Англійська
Опубліковано: Institute of Mathematics, NAS of Ukraine 2003
Онлайн доступ:https://umj.imath.kiev.ua/index.php/umj/article/view/3909
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Репозитарії

Ukrains’kyi Matematychnyi Zhurnal
Опис
Резюме: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 method to joint Padé approximations, Padé–Chebyshev approximations, Hermite–Padé approximations, and two-point Padé approximations.