## Abstract

In this note we are concerned with the characterization of the elements of \(\varepsilon\)-best approximation (\varepsilon\)-nearest points) in a subspace \(Y\) of space \(X\) with asymmetric seminorm. For this we use functionals in the asymmetric dual \(X^{b}\) defined and studied in some recent papers [1], [3], [5].

## Authors

**Costica Mustata**

“Tiberiu Popovicu” Institute of Numerical Analysis, Romanian Academy, Romania

## Keywords

Asymmetric seminormed spaces; ε-nearest points; characterization.

## Paper coordinates

C. Mustăţa, *Characterization of ε-nearest points in space with asymmetric seminorm*, Rev. Anal. Numer. Theor. Approx. 33 (2004) no. 2, 203-208.

## About this paper

##### Journal

Revue d’Analyse Numer.Theor. Approx.

##### Publisher Name

Publishing House of the Romanian Academy

##### Print ISSN

2501-059X

##### Online ISSN

2457-6794

google scholar link

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