On the best L1-approximation by algebraic polynomials to truncated powers and to classes of functions with L1-bounded derivative

被引：0

作者：

Motornyi, VP ^{[1
]}

Motornaya, OV ^{[1
]}

机构：

[1] Dnepropetrovsk State Univ, Dnepropetrovsk, Ukraine

来源：

IZVESTIYA MATHEMATICS | 1999年 / 63卷 / 03期

关键词：

D O I：

10.1070/IM1999v063n03ABEH000246

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the asymptotic behaviour of the best L-1-approximations of the kernels (x - a)(+)(r-1), r > 2, and the corresponding classes W-1(r) by algebraic polynomials.

引用

页码：561 / 582

页数：22

共 50 条

[1] On the best L1-approximation of truncated powers by algebraic polynomials
Nitiema P.K.
[J]. Ukrainian Mathematical Journal, 1998, 50 (4) : 673 - 679
[2] BEST L1-APPROXIMATION BY POLYNOMIALS
FIEDLER, H
JURKAT, WB
[J]. JOURNAL OF APPROXIMATION THEORY, 1983, 37 (03) : 269 - 292
[3] A REMARK ON BEST L1-APPROXIMATION BY POLYNOMIALS
BRASS, H
[J]. JOURNAL OF APPROXIMATION THEORY, 1988, 52 (03) : 359 - 361
[4] BEST L1-APPROXIMATION BY POLYNOMIALS .2.
FIEDLER, H
JURKAT, WB
[J]. JOURNAL OF APPROXIMATION THEORY, 1990, 63 (03) : 267 - 272
[5] BEST L1-APPROXIMATION
STRAUSS, H
[J]. JOURNAL OF APPROXIMATION THEORY, 1984, 41 (04) : 297 - 308
[6] UNIQUENESS IN BEST ONE-SIDED L1-APPROXIMATION BY ALGEBRAIC POLYNOMIALS ON UNBOUNDED INTERVALS
LENZE, B
[J]. JOURNAL OF APPROXIMATION THEORY, 1989, 57 (02) : 169 - 177
[7] WEIGHTED L1-APPROXIMATION BY POLYNOMIALS
FREUD, G
[J]. STUDIA MATHEMATICA, 1973, 46 (02) : 124 - 133
[8] THE NATURAL BEST L1-APPROXIMATION BY NONDECREASING FUNCTIONS
HUOTARI, R
LEGG, D
MEYEROWITZ, AD
TOWNSEND, D
[J]. JOURNAL OF APPROXIMATION THEORY, 1988, 52 (02) : 132 - 140
[9] ORTHOGONAL POLYNOMIALS IN L1-APPROXIMATION
PEHERSTORFER, F
[J]. JOURNAL OF APPROXIMATION THEORY, 1988, 52 (03) : 241 - 268
[10] BEST L1-APPROXIMATION OF BOUNDED, APPROXIMATELY CONTINUOUS-FUNCTIONS ON [0,1] BY NONDECREASING FUNCTIONS
DARST, RB
HUOTARI, R
[J]. JOURNAL OF APPROXIMATION THEORY, 1985, 43 (02) : 178 - 189

← 1 2 3 4 5 →