Document Zbl 0454.41026

Restricted approximation by strongly sign-regular kernels: The finite bang-bang principle. (English) Zbl 0454.41026

J. Approximation Theory 29, 212-217 (1980).

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MSC:

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

Keywords:

best uniform approximation

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References:

[1]	Gantmacher, F. R.; Krein, M. G., Oszillationsmatrizen, Oszillationskerne und kleine Schwingungen mechanischer Systeme (1960), Akademie-Verlag: Akademie-Verlag Berlin · Zbl 0088.25103
[2]	Glashoff, K.; Weck, N., Boundary control of parabolic differential equations in arbitrary dimensions: Supremum-norm problems, SIAM J. Control Optimization, 14, No. 4, 662-681 (1976) · Zbl 0333.49016
[3]	Holmes, R. B., A Course on Optimization and Best approximation, (Lecture Notes in Mathematics No. 257 (1972), Springer-Verlag: Springer-Verlag Berlin/Heidelberg/New York) · Zbl 0234.46016
[4]	Karafiat, A., The problem of the number of switches in parabolic equations with control, Ann. Pol. Math., 34, 289-316 (1977) · Zbl 0384.49019
[5]	Karlin, S., (Total Positivity, Vol. I (1968), Stanford Univ. Press: Stanford Univ. Press Stanford, California) · Zbl 0219.47030

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