Approximation of the differentiation operator by linear bounded operators on the class of twice differentiable functions in the space \(L_2(0,\infty)\)

DOI10.1134/S0081543814020035zbMath1307.47013OpenAlexW1977918435MaRDI QIDQ483401

M. A. Filatova, Vitalii Arestov

Publication date: 17 December 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543814020035

zbMATH Keywords

semiaxisdifferentiation operatorStechkin's problem

Mathematics Subject Classification ID

Linear operator approximation theory (47A58)

Related Items (2)

The best approximation of the differentiation operator by linear bounded operators in the space \(L_2\) on the semiaxis ⋮ Best approximation of the differentiation operator in the space \(L_2\) on the semiaxis

Cites Work

• Delsarte method in the problem on kissing numbers in high-dimensional spaces
• Norm inequalities for derivatives and differences
• Best approximation of unbounded operators by bounded ones
• Inequalities for the norms of a function and its derivatives in metric \(L_ p\)
• Best approximation of linear operators
• On an inequality of Hardy, Littlewood, and Pólya
• The best approximation of the differentiation operator in the metric of L\(_p\)
• On a Class of Integral Inequalities
• Approximation of unbounded operators by bounded operators and related extremal problems
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