Approximation by Dirichlet series with nonnegative coefficients

被引：9

作者：

Liu, YK ^{[1
]}

机构：

[1] Loughborough Univ Technol, Dept Math Sci, Loughborough LE11 3TU, Leics, England

来源：

JOURNAL OF APPROXIMATION THEORY | 2001年 / 112卷 / 02期

关键词：

Dirichlet series; completely monotonic function; Muntz theorems; relaxation modulus; rheology;

D O I：

10.1006/jath.2001.3589

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The problem of approximating a given function by Dirichlet series with nonnegative coefficients is associated with the discrete spectral representation of the relaxation modulus in rheology. The main result of this paper is that if a function can be approximated arbitrarily closely by Dirichlet series with nonnegative coefficients in supremum norm or L-p-norm. 1 less than or equal to p < infinity, then it must be completely monotonic, (C) 2001 Academic Press.

引用

页码：226 / 234

页数：9

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