SIMULTANEOUS POLYNOMIAL-APPROXIMATION

被引：9

作者：

DITZIAN, Z ^{[1
]}

JIANG, D ^{[1
]}

LEVIATAN, D ^{[1
]}

机构：

[1] TEL AVIV UNIV,DEPT MATH,IL-69978 TEL AVIV,ISRAEL

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1993年 / 24卷 / 06期

关键词：

SIMULTANEOUS APPROXIMATION; ALGEBRAIC POLYNOMIAL APPROXIMATION;

D O I：

10.1137/0524092

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A recent result (see [Canad. J. Math., 44 (1992), pp. 924-940]) has bridged the gap between the Timan-ty-pe pointwise estimate and the norm estimate for polynomial approximation in C[- 1, 1]. Here, the authors show that for f is-an-element-of C(s) [- 1, 1] the function and its derivatives of order j, 0 less-than-or-equal-to j less-than-or-equal-to s, can be simultaneously approximated by polynomials of degree n and their derivatives in the appropriate manner.

引用

页码：1652 / 1661

页数：10

共 19 条

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[4] DEVORE RA, 1977, 1975 P INT C KAL, P132
[5] DHALHAUS R, 1989, J APPROX THEORY, V57, P272
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DITZIAN, Z
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1980, 90 (02) : 307 - 323
[7] APPROXIMATION OF FUNCTIONS BY POLYNOMIALS IN C[-1, 1]
DITZIAN, Z
JIANG, D
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1992, 44 (05): : 924 - 940
[8] SHAPE-PRESERVING POLYNOMIAL-APPROXIMATION IN C[-1,1]
DITZIAN, Z
JIANG, D
LEVIATAN, D
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1992, 112 : 309 - 316
[9] Ditzian Z., 1987, MODULI SMOOTHNESS
[10] Ferguson L. B. O., 1980, APPROXIMATION POLYNO

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