Lp(1 ≤ p ≤ ∞) APPROXIMATION BY AN n-DIMENSIONAL SUBSPACE ON A SET OF n+1 POINTS

数学物理学报(英文版) ›› 1993, Vol. 13 ›› Issue (4): 430-436.

L_p(1 ≤ p ≤ ∞) APPROXIMATION BY AN n-DIMENSIONAL SUBSPACE ON A SET OF n+1 POINTS

史应光

Computing Center, Academia Sinica, Beijing 100080, China

收稿日期:1990-11-08 出版日期:1993-12-25 发布日期:1993-12-25

L_p(1 ≤ p ≤ ∞) APPROXIMATION BY AN n-DIMENSIONAL SUBSPACE ON A SET OF n+1 POINTS

Shi Yingguang

Computing Center, Academia Sinica, Beijing 100080, China

Received:1990-11-08 Online:1993-12-25 Published:1993-12-25

摘要/Abstract

摘要： Some new characterizations and immediate explicit expressions of best L_p(1 ≤ p ≤ ∞) approximation and their deviations by an n-dimensional subspace on a set of n+1 points are given.

史应光. L_p(1 ≤ p ≤ ∞) APPROXIMATION BY AN n-DIMENSIONAL SUBSPACE ON A SET OF n+1 POINTS[J]. 数学物理学报(英文版), 1993, 13(4): 430-436.

Shi Yingguang. L_p(1 ≤ p ≤ ∞) APPROXIMATION BY AN n-DIMENSIONAL SUBSPACE ON A SET OF n+1 POINTS[J]. Acta mathematica scientia,Series B, 1993, 13(4): 430-436.

L_p(1 ≤ p ≤ ∞) APPROXIMATION BY AN n-DIMENSIONAL SUBSPACE ON A SET OF n+1 POINTS

L_p(1 ≤ p ≤ ∞) APPROXIMATION BY AN n-DIMENSIONAL SUBSPACE ON A SET OF n+1 POINTS

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