Hadamard and Schwarz Type Theorems and Optimal Recovery in Spaces of Analytic Functions

K. Y. Osipenko; M. I. Stessin

doi:10.1007/s00365-009-9043-5

Hadamard and Schwarz Type Theorems and Optimal Recovery in Spaces of Analytic Functions

K. Y. Osipenko
, M. I. Stessin

Mathematics and Statistics

University at Albany

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We prove a general theorem which gives a necessary condition of extremum in the dual optimal recovery problem in terms of inclusion in certain annihilators. Applications of this theorem yield Hadamard and Schwarz type results. We also construct related optimal recovery methods.

Original language	English
Pages (from-to)	37-67
Number of pages	31
Journal	Constructive Approximation
Volume	31
Issue number	1
DOIs	https://doi.org/10.1007/s00365-009-9043-5
State	Published - Jan 2009

Keywords

Extremal problems
Hardy spaces
Optimal recovery

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title = "Hadamard and Schwarz Type Theorems and Optimal Recovery in Spaces of Analytic Functions",

abstract = "We prove a general theorem which gives a necessary condition of extremum in the dual optimal recovery problem in terms of inclusion in certain annihilators. Applications of this theorem yield Hadamard and Schwarz type results. We also construct related optimal recovery methods.",

keywords = "Extremal problems, Hardy spaces, Optimal recovery",

author = "Osipenko, \{K. Y.\} and Stessin, \{M. I.\}",

year = "2009",

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T1 - Hadamard and Schwarz Type Theorems and Optimal Recovery in Spaces of Analytic Functions

AU - Osipenko, K. Y.

AU - Stessin, M. I.

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N2 - We prove a general theorem which gives a necessary condition of extremum in the dual optimal recovery problem in terms of inclusion in certain annihilators. Applications of this theorem yield Hadamard and Schwarz type results. We also construct related optimal recovery methods.

AB - We prove a general theorem which gives a necessary condition of extremum in the dual optimal recovery problem in terms of inclusion in certain annihilators. Applications of this theorem yield Hadamard and Schwarz type results. We also construct related optimal recovery methods.

KW - Extremal problems

KW - Hardy spaces

KW - Optimal recovery

UR - https://www.scopus.com/pages/publications/76549090792

U2 - 10.1007/s00365-009-9043-5

DO - 10.1007/s00365-009-9043-5

M3 - Article

SN - 0176-4276

VL - 31

SP - 37

EP - 67

JO - Constructive Approximation

JF - Constructive Approximation

IS - 1

ER -

Hadamard and Schwarz Type Theorems and Optimal Recovery in Spaces of Analytic Functions

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Keywords

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