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

DOI10.1134/S1064562414060246zbMath1308.47018OpenAlexW2046431388MaRDI QIDQ2254114

M. A. Filatova, Vitalii Arestov

Publication date: 4 February 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562414060246

zbMATH Keywords

differential operatorbest approximationbounded linear operator

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Linear operator approximation theory (47A58)

Cites Work

• Approximation of the differentiation operator by linear bounded operators on the class of twice differentiable functions in the space \(L_2(0,\infty)\)
• Norm inequalities for derivatives and differences
• Inequalities for the norms of a function and its derivatives in metric \(L_ p\)
• Best approximation of linear operators
• Best approximations in \(L_{[0,\infty)}\) of the differentiation operator
• The best approximation of the differentiation operator in the metric of L\(_p\)
• Approximation of unbounded operators by bounded operators and related extremal problems
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