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

Authors

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

Keywords:

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

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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Published

2004-08-01

How to Cite

Mustăţa, C. (2004). Characterization of \(\varepsilon\)-nearest points in spaces with asymmetric seminorm. Rev. Anal. Numér. ThéOr. Approx., 33(2), 203-208. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/2004-vol33-no2-art11

Issue

Vol. 33 No. 2 (2004)

Section

Articles