MULTIPLY MONOTONE-FUNCTIONS FOR CARDINAL INTERPOLATION

被引：12

作者：

BUHMANN, MD ^{[1
]}

MICCHELLI, CA ^{[1
]}

机构：

[1] IBM CORP,THOMAS J WATSON RES CTR,YORKTOWN HTS,NY 10598

来源：

ADVANCES IN APPLIED MATHEMATICS | 1991年 / 12卷 / 03期

关键词：

D O I：

10.1016/0196-8858(91)90018-E

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Among other things we derive sufficient conditions for a radial basis function φ: R≥ 0 → R that depend on derivatives of φ(√·): R0 → R being completely or multiply monotone, to admit interpolation on an infinite regular lattice if(x) = ∑ j∈Znf(j)x(x-j), x ∈ Rn, to f:Rn → R, where the cardinal function if(x) = ∑ j∈Zncjø(∥x - j∥), x ∈ Rn, satisfies χ(λ) = δ0l for all l ε{lunate} Zn. © 1991.

引用

页码：358 / 386

页数：29

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