[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2010.23.4.705

TWO-SIDED BEST SIMULTANEOUS APPROXIMATION

Rhee, Hyang Joo (College of Natural Sciences Duksung Women's University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.23, no.4, 2010 , pp. 705-710 More about this Journal

Abstract

Let $C_1(X)$ be a normed linear space over ${\mathbb{R}}^m$ , and S be an n-dimensional subspace of $C_1(X)$ with spaned by { $s_1,{\cdots},s_n$ }. For each ${\ell}$ - tuple vectors F in $C_1(X)$ , the two-sided best simultaneous approximation problem is $\min_{s{\in}S}\;\max\limits_{i=1}^\ell\{{\parallel}f_i-s{\parallel}_1\}$ . A $s{\in}S$ attaining the above minimum is called a two-sided best simultaneous approximation or a Chebyshev center for $F=\{f_1,{\cdots},f_{\ell}\}$ from S. This paper is concerned with algorithm for calculating two-sided best simultaneous approximation, in the case of continuous functions.

Keywords

Chebyshev center; two-sided best simultaneous approximation;

Citations & Related Records

Reference

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