Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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One-sided best simultaneous $L_1$-approximation for a compact set

  • Park, Sung-Ho (Department of Mathematics, Sogang University, CPO 1142, Seoul 121-742) ;
  • Rhee, Hyang-Joo (Department of General Studies, Duksung Women's University, Seoul 132-714)
  • Published : 1998.02.01
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Abstract

In this paper, we discuss the characterizations and uniqueness of a one-sided best simultaneous approximation for a compact subset from a convex subset of a finite-dimensional subspace of a normed linear space $C_1(X)$. The motivation is furnished by the characterizations of the one-sided best simultaneous approximations for a finite subset ${f_1, \ldots, f_\ell}$ for any $\ell \in N$.

Keywords

References

  1. Jour. Kor.Math. Soc. v.33 Onesided best simultaneous L₁-approximation S. H. Park;H. J. Rhee
  2. On L¹-approximation Allan. M. Pinkus