LP approximation of completely monotone functions

JOURNAL OF APPROXIMATION THEORY

卷:248

Article

Loy, R. J.¹  Anderssen, R. S.² 

[1] Australian Natl Univ, Math Sci Inst, Canberra, ACT 2601, Australia

[2] CSIRO, Data61, GPO Box 1700, Canberra, ACT 2601, Australia

关键词: Completely monotone functions;    parallel to.parallel to(p) approximation;   

DOI  :  10.1016/j.jat.2019.105301

来源: Elsevier

【 摘 要 】

We show that any completely monotone L-P function on [0, infinity) is the parallel to . parallel to(p) limit of a sequence of Dirichlet series with non-negative coefficients. This answers a question of Liu (2001). (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free