The uniqueness of the best non-symmetric $L_1$-approximant with a weight by $A_{\alpha ,\beta }$-subspace

Abstract

The questions of the uniqueness of the best non-symmetric $L_1$-approximant with weight in the finite dimensional subspace and the connection of such tasks with $A_{\alpha ,\beta }$-subspaces were considered in this article. This result generalizes the known result of Kroo on the case of non-symmetric approximation.

Keywords

• $(\alpha; \beta)$-approximation
• kb-space
• $l_1$-norm
• weight
• continuous functions