On the best polynomial approximation of entire transcendental functions in Banach spaces. II

• Datum: 1994
• Hauptverfasser: Vakarchuk, S. B., Вакарчук, С. Б.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1994
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5609
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study the behavior of the best approximations $E_n(f)_{E′_p}$ of entire transcendental functions $f(z)$ of the order $ρ = 0$ by polynomials of at most $n$ th degree in the metric of the space $E′_p(Ω),\, p ≥ 1$. In particular, we describe the relationship between the best approximations $E_n(f...