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...

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Bibliographic Details
Published in:Ukrainian mathematical journal Vol. 63; no. 12; pp. 1795 - 1819
Main Authors: Vakarchuk, S. B., Vakarchuk, M. B.
Format: Journal Article
Language:English
Published: Boston Springer US 01.05.2012
Springer
Subjects:
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 Access:Get full text
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Summary: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