Criterions for the best non-symmetric $$$L_p$$$- and $$$L_1$$$-approximant for the functions with values in KB-spaces with weight

M.Ye. Tkachenko; V.M. Traktyns'ka

doi:10.15421/241712

Criterions for the best non-symmetric $$$L_p$$$- and $$$L_1$$$-approximant for the functions with values in KB-spaces with weight

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 questions of the characterization of the best non-symmetric $$$L_p$$$ and $$$L_1$$$-approximant for the functions with values in KB-space with a weight were considered. The criterions of the best non-symmetric approximant for the specified functions in metrics of the spaces $$$L_p$$$ and $$$L_1$$$ with a weight is obtained.

Keywords

non-symmetric norms; the functions with values in KB-space; the best non-symmetric approximant with a weight

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References

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