Two Points and n -th Derivatives Norm Inequalities for Analytic Functions in Banach Algebras

Autor: S. S. Dragomir
Rok vydání: 2022
Předmět:
Zdroj: Ukrains’kyi Matematychnyi Zhurnal. 74:1086-1106
ISSN: 1027-3190
DOI: 10.37863/umzh.v74i8.6116
Popis: UDC 517.5 Let ℬ be a unital Banach algebra, let a ∈ ℬ , G be a convex domain of ℂ with σ ( a ) ⊂ G , let α , β ∈ G , and let f : G → ℂ be analytic on G . By using the analytic functional calculus, we obtain among others the following result:Some examples for the exponential function on Banach algebras are also given.
Databáze: OpenAIRE