Characterization of \(\varepsilon\)-nearest points in spaces with asymmetric seminorm

Costică Mustăţa

doi:10.33993/jnaat332-777

Authors

Costică Mustăţa Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy, Romania

DOI:

https://doi.org/10.33993/jnaat332-777

Keywords:

asymmetric seminormed spaces, \(\varepsilon\)-nearest points, characterization

Abstract views: 232

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], [2], [5].

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References

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