Inequalities of Kolmogorov type for analytic functions of one and two complex variables and their applications to approximation theory

Exact inequalities of the Kolmogorov type are obtained in Hardy Banach spaces for functions of one complex variable analytic in the unit disk and functions of two complex variables analytic in the unit bidisk. We also present applications of these inequalities to problems of the theory of approximat...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Ukrainian mathematical journal Jg. 63; H. 12; S. 1795 - 1819
Hauptverfasser: Vakarchuk, S. B., Vakarchuk, M. B.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Boston Springer US 01.05.2012
Springer
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
Analytic Function
Linear Normed Space
Complex Variable
Hardy Space
Require Inequality
ISSN:0041-5995, 1573-9376
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Exact inequalities of the Kolmogorov type are obtained in Hardy Banach spaces for functions of one complex variable analytic in the unit disk and functions of two complex variables analytic in the unit bidisk. We also present applications of these inequalities to problems of the theory of approximation of analytic functions of one and two complex variables.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-012-0615-3