APPROXIMATION OF THE DIFFERENTIATION OPERATOR ON THE CLASS OF FUNCTIONS ANALYTIC IN AN ANNULUS

DOI10.15826/umj.2017.2.002zbMath1448.41028OpenAlexW2776211552MaRDI QIDQ5125189

Roman Razmikovich Akopyan

Publication date: 5 October 2020

Published in: Ural mathematical journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/umj37

zbMATH Keywords

analytic functionsoptimal recoverybest approximation of operators

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Hardy spaces (30H10)

Related Items (4)

Approximation of derivatives of analytic functions from one Hardy class by another Hardy class ⋮ Best uniform approximation of the differentiation operator by operators bounded in the space \(L_2\) ⋮ Optimal recovery on classes of functions analytic in an annulus ⋮ Uniform approximation of differentiation operators by bounded linear operators in the space \(L_r\)

Cites Work

• Best approximation of the differentiation operator on the class of functions analytic in a strip
• Best approximation of linear operators
• Approximation of unbounded operators by bounded operators and related extremal problems
• Unnamed Item

This page was built for publication: APPROXIMATION OF THE DIFFERENTIATION OPERATOR ON THE CLASS OF FUNCTIONS ANALYTIC IN AN ANNULUS