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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Vydáno v:Ukrainian mathematical journal Ročník 63; číslo 12; s. 1795 - 1819
Hlavní autoři: Vakarchuk, S. B., Vakarchuk, M. B.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Boston Springer US 01.05.2012
Springer
Témata:
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
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Shrnutí: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