Restricted approximation by strongly sign-regular kernels: The finite bang-bang principle

DOI10.1016/0021-9045(80)90125-2zbMath0454.41026OpenAlexW2058644272MaRDI QIDQ1149596

Klaus Glashoff

Publication date: 1980

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(80)90125-2

zbMATH Keywords

best uniform approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)

Related Items (7)

Best approximation and cyclic variation diminishing kernels ⋮ Best approximation by periodic smooth functions (with an appendix by D. Davydov) ⋮ On the switching behavior of sparse optimal controls for the one-dimensional heat equation ⋮ Best approximations by smooth functions ⋮ Boundary control for the heat equation with nonlinear boundary condition ⋮ Characterization of bang-bang principles ⋮ On the total - and strict total - positivity of the kernels associated with parabolic initial boundary value problems

Cites Work

• Boundary Control of Parabolic Differential Equations in Arbitrary Dimensions: Supremum-Norm Problems
• The problem of the number of switches in parabolic equations with control
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