Two points and $n$ th derivatives norm inequalities for analytic functions in Banach algebras

• Datum: 2022
• Hauptverfasser: Dragomir, S. S., Dragomir, Silvestru Sever
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2022
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/6116
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 Let $\mathcal{B}$ be a unital Banach algebra, let $a \in \mathcal{B},$ $G$ be a convex domain of $\mathbb{C}$ with $\sigma (a) \subset G,$ let $\alpha, \beta \in G,$ and let $f \colon G \rightarrow \mathbb{C}$ be analytic on $G.$By using the analytic functional calculus, we obtain among ot...