PROOF OF THE CONJECTURES OF BERNSTEIN AND ERDOS CONCERNING THE OPTIMAL NODES FOR POLYNOMIAL INTERPOLATION

被引:54
作者
BOOR, CD [1 ]
PINKUS, A [1 ]
机构
[1] TECHNION ISRAEL INST TECHNOL,DEPT MATH,HAIFA,ISRAEL
关键词
D O I
10.1016/0021-9045(78)90014-X
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
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页码:289 / 303
页数:15
相关论文
共 14 条
[1]   COVERING SPACES, FIBRE SPACES, AND LOCAL HOMEOMORPHISMS [J].
BROWDER, FE .
DUKE MATHEMATICAL JOURNAL, 1954, 21 (02) :329-336
[2]   LEBESGUE FUNCTION FOR POLYNOMIAL INTERPOLATION [J].
BRUTMAN, L .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1978, 15 (04) :694-704
[3]  
CHENEY EW, 1970, APPROXIMATION THEORY, P261
[4]   AUSWERTUNG DER NORMEN VON INTERPOLATIONSOPERATOREN [J].
EHLICH, H ;
ZELLER, K .
MATHEMATISCHE ANNALEN, 1966, 164 (02) :105-&
[5]   SOME REMARKS ON POLYNOMIALS [J].
ERDOS, P .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1947, 53 (12) :1169-1176
[6]  
ERDOS P, 1958, ACTA MATH ACAD SCI H, V9, P381
[7]   CHARACTERIZATION OF THE LAGRANGE INTERPOLATING PROJECTION WITH MINIMAL TCHEBYCHEFF NORM [J].
KILGORE, TA .
JOURNAL OF APPROXIMATION THEORY, 1978, 24 (04) :273-288
[8]   OPTIMIZATION OF NORM OF LAGRANGE INTERPOLATION OPERATOR [J].
KILGORE, TA .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 83 (05) :1069-1071
[9]  
KILGORE TA, 1976, AEQUATIONES MATH, V14, P391
[10]  
LELEK A, 1960, FUND MATH, V49, P295