Uniform regularization of the problem of calculating the values of an operator

DOI10.1007/BF01780971zbMath0421.47036MaRDI QIDQ1133135

Vitalii Arestov

Publication date: 1978

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Stechkin problemJung's constantuniform regularization

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Iterative procedures involving nonlinear operators (47J25) General theory of linear operators (47A99)

Related Items (8)

Calculation of the derivative of an inaccurately defined function by means of feedback laws ⋮ Optimal recovery of an analytic function in a doubly connected domain from its approximately given boundary values ⋮ Optimal recovery on classes of functions analytic in an annulus ⋮ Optimal recovery of a function analytic in a disk from its approximately given values on a part of the boundary ⋮ An analogue of the two-constants theorem and optimal recovery of analytic functions ⋮ Best approximation of the differentiation operator in the space \(L_2\) on the semiaxis ⋮ Analog of the Hadamard theorem and related extremal problems on the class of analytic functions ⋮ On the Landau-Kolmogorov inequality between $\| f' \|_{\infty}$, $\| f \|_{\infty}$ and $\| f \|_1$

Cites Work

• Inequalities between the upper bounds of the derivatives of an arbitrary function on the half-line
• Best approximation of linear operators
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