BEST RESTRICTED RANGE APPROXIMATION

被引:1
|
作者
ZHONG, J [1 ]
机构
[1] PENN STATE UNIV,DEPT MATH,UNIV PK,PA 16802
关键词
D O I
10.1080/01630569308816515
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A theory of best restricted range approximation is developed for an extended n-dimensional Chebvshev subspace of C[a.b] of order n without restricting the upper and lower restraining functions. This theory includes a ''zero in the convex hull'' characterization, an alternation theorem. and a strong uniqueness theorem.
引用
收藏
页码:179 / 194
页数:16
相关论文
共 50 条
  • [21] RESTRICTED RANGE APPROXIMATION AND ITS APPLICATION TO DIGITAL-FILTER DESIGN
    LEWIS, JT
    MATHEMATICS OF COMPUTATION, 1975, 29 (130) : 522 - 539
  • [22] The similarity between the best approximation and the best copositive approximation
    Kamal, A
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1997, 18 (7-8) : 789 - 803
  • [23] On Best Approximation and Best Coapproximation
    Narang, Tulsi Dass
    Gupta, Sahil
    THAI JOURNAL OF MATHEMATICS, 2016, 14 (02): : 505 - 516
  • [24] ON BEST AND BEST SIMULTANEOUS APPROXIMATION
    NARANG, TD
    KHANNA, S
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1982, 13 (06): : 643 - 646
  • [25] The best approximation
    Markouchevitch, A
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES DE L URSS, 1944, 44 : 262 - 264
  • [26] Restricted Nonlinear Approximation
    A. Cohen
    R. A. DeVore
    R. Hochmuth
    Constructive Approximation, 2000, 16 : 85 - 113
  • [27] RESTRICTED APPROXIMATION AND INTERPOLATION
    PASSOW, E
    RAYMON, L
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 80 (04) : 750 - 753
  • [28] Regarding the best approximation of measurable and restricted functions with the aid of polynomes or limited trigonometric sums.
    Chokhate, J
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1928, 187 : 875 - 876
  • [29] Restricted nonlinear approximation
    Cohen, A
    DeVore, RA
    Hochmuth, R
    CONSTRUCTIVE APPROXIMATION, 2000, 16 (01) : 85 - 113
  • [30] APPROXIMATION WITH RESTRICTED SPECTRA
    CHUI, CK
    SMITH, PW
    WARD, JD
    MATHEMATISCHE ZEITSCHRIFT, 1975, 144 (03) : 289 - 297