In this paper, we study the characterizations of two-sided best simultaneous approximations for ℓ-tuple subset from a closed convex subset of ℝ<sup>m</sup> with ℓ<sup>m</sup><sub>1</sub>(w)-norm...
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https://www.riss.kr/link?id=A107610933
2021
English
KCI등재
학술저널
437-442(6쪽)
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
In this paper, we study the characterizations of two-sided best simultaneous approximations for ℓ-tuple subset from a closed convex subset of ℝ<sup>m</sup> with ℓ<sup>m</sup><sub>1</sub>(w)-norm...
In this paper, we study the characterizations of two-sided best simultaneous approximations for ℓ-tuple subset from a closed convex subset of ℝ<sup>m</sup> with ℓ<sup>m</sup><sub>1</sub>(w)-norm. Main fact is, k<sup>*</sup> is a two-sided best simultaneous approximation to F from K if and only if there exist f<sub>1</sub>, …, f<sub>p</sub> in F, for any k ∈ K $${\mid}{\sum\limits_{i=1}^{m}}sgn(f_{ji}-k^*_i)k_iw_i{\mid}{\leq}\;{\sum\limits_{i{\in}Z(f_j-k^*)}}\;{\mid}k_i{\mid}w_i$$ for each j = 1, …, p and 𝐰 ∈ W.
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