Conditions of unicity of the best $$$L_1$$$-approximant for vector-valued functions by subspace of constant mappings

M.Ye. Tkachenko; V.M. Traktynska

doi:10.15421/240817

Conditions of unicity of the best $$$L_1$$$-approximant for vector-valued functions by subspace of constant mappings

M.Ye. Tkachenko (Oles Honchar Dnipropetrovsk National University), https://orcid.org/0000-0002-9242-194X
V.M. Traktynska (Oles Honchar Dnipropetrovsk National University)

Abstract

We obtain the conditions of unicity of the best $$$L_1$$$-approximant for vector-valued functions, continuous on metric compact, by subspace of constant mappings.

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References

Babenko V.F., Tkachenko M.Ye. "Sufficient conditions of unicity of the best $$$L_1$$$-approximant for the functions with values in Banach space", Res. Math., 2003; 8: pp. 19-25. (in Ukrainian)

Gorbenko M.Ye. "On unicity of the best nonsymmetric approximant for vector-valued functions in $$$L_1$$$ metric", Res. Math., 1998; 3: pp. 33-41. (in Russian)

DOI: https://doi.org/10.15421/240817