Vector Approximation

Johannes Jahn ()
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Johannes Jahn: Universität Erlangen-Nürnberg

Chapter Chapter 9 in Vector Optimization, 2011, pp 211-242 from Springer

Abstract: Abstract Vector approximation problems are abstract approximation problems where a vectorial norm is used instead of a usual (real-valued) norm. Many important results known from approximation theory can be extended to this vector-valued case. After a short introduction we examine the relationship between vector approximation and simultaneous approximation, and we present the so-called generalized Kolmogorov condition. Moreover, we consider nonlinear and linear Chebyshev vector approximation problems and we formulate a generalized alternation theorem for these problems.

Keywords: Minimal Element; Minimal Solution; Simultaneous Approximation; Vector Optimization Problem; Maximal Solution (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-17005-8_9

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DOI: 10.1007/978-3-642-17005-8_9

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