Best approximation of unbounded by bounded operators, and allied problems

DOI10.1007/BF01159122zbMath0616.41024OpenAlexW2006887935MaRDI QIDQ1821284

Vitalii Arestov

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01159122

zbMATH Keywords

modulus of continuityshift-invariant operatorBanach spaceextremal problemsbounded linear operatorsill-posed problemsunbounded linear operatorbest restoration of operator values

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by positive operators (41A36)

Related Items (2)

The Landau-Kolmogorov problem for the Laplace operator on a ball ⋮ Some approximation problems for a class of functions with a prescribed majorant for the moduli of continuity of higher derivatives

Cites Work

• Fixed-point theorems for compact convex sets
• Optimal methods of computing the values of the operator Ux if x is given with an error. Differentiation of functions defined with an error
• Approximation of a differentiation operator
• Approximation of norms
• On multipliers preserving convergence of trigonometric series almost everywhere
• ON INTEGRAL INEQUALITIES FOR TRIGONOMETRIC POLYNOMIALS AND THEIR DERIVATIVES
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