COMPLEX KERGIN INTERPOLATION

被引：24

作者：

ANDERSSON, M

PASSARE, M

机构：

[1] CHALMERS UNIV TECHNOL,INST MATEMAT,S-41296 GOTHENBURG,SWEDEN

[2] UNIV STOCKHOLM,INST MATEMAT,S-11385 STOCKHOLM,SWEDEN

来源：

JOURNAL OF APPROXIMATION THEORY | 1991年 / 64卷 / 02期

关键词：

D O I：

10.1016/0021-9045(91)90076-M

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that complex Kergin interpolation may be defind in any domain that is C-convex, whereas the original definition required ordinary, real convexity. We also provide a counterexample which essentially shows that this is the most general definition possible. Finally we give an application concerning approximation of entire functions. © 1991.

引用

页码：214 / 225

页数：12

共 9 条

[1] KERGIN INTERPOLATION OF ENTIRE-FUNCTIONS ON CN [J].

BLOOM, T .

DUKE MATHEMATICAL JOURNAL, 1981, 48 (01) :69-83

[2]

BLOOM T, 1984, LECT NOTES MATH, V1094, P15

[3]

GELFOND AO, 1958, HOCHSCHULBUCHER MATH, V41

[4]

izenberg L. A. A., 1983, TRANSLATIONS MATH MO, V58

[5] A NATURAL INTERPOLATION OF CK FUNCTIONS [J].

KERGIN, P .

JOURNAL OF APPROXIMATION THEORY, 1980, 29 (04) :278-293

[6] A FORMULA FOR KERGIN INTERPOLATION IN RK [J].

MICCHELLI, CA ;

MILMAN, P .

JOURNAL OF APPROXIMATION THEORY, 1980, 29 (04) :294-296

[7]

Norlund N.E., 1924, VORLESUNGEN DIFFEREN

[8]

Yuzhakov A. P., 1971, SIBERIAN MATH J, V12, P323

[9]

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