Conditions of unicity of the best non-symmetric $$$L_1$$$-approximant

Yu.S. Zagorul'ko; M.Ye. Tkachenko; V.M. Traktyns'ka

doi:10.15421/241312

Conditions of unicity of the best non-symmetric $$$L_1$$$-approximant

Yu.S. Zagorul'ko (Oles Honchar Dnipropetrovsk National University)
M.Ye. Tkachenko (Oles Honchar Dnipropetrovsk National University), https://orcid.org/0000-0002-9242-194X
V.M. Traktyns'ka (Oles Honchar Dnipropetrovsk National University)

Abstract

The necessary and sufficient conditions of the unicity of the best $$$(\overline{\alpha},\overline{\beta})$$$-approximant with coefficient constraints for the continuous vector-valued functions on a metric compact are obtained.

Keywords

the unicity of the best non-symmetric approximant; vector-valued functions; one-dimensional subspace

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References

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