On Some Problems of Polynomial Approximation of Entire Transcendental Functions

• Datum: 2002
• Hauptverfasser: Vakarchuk, S. B., Zhir, S. I., Вакарчук, С. Б., Жир, С. И.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2002
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4155
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

For entire transcendental functions of finite generalized order, we obtain limit relations between the growth characteristic indicated above and sequences of their best polynomial approximations in certain Banach spaces (Hardy spaces, Bergman spaces, and spaces \(B\left( {p,q,{\lambda }} \right)\)...