Lp approximation of completely monotone functions

R. J. Loy; R. S. Anderssen

doi:10.1016/j.jat.2019.105301

L^p approximation of completely monotone functions

R. J. Loy^*
, R. S. Anderssen

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We show that any completely monotone L^p function on [0,∞) is the ‖⋅‖_p limit of a sequence of Dirichlet series with non-negative coefficients. This answers a question of Liu (2001).

Original language	English
Article number	105301
Journal	Journal of Approximation Theory
Volume	248
DOIs	https://doi.org/10.1016/j.jat.2019.105301
Publication status	Published - Dec 2019

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title = "Lp approximation of completely monotone functions",

abstract = "We show that any completely monotone Lp function on [0,∞) is the ‖⋅‖p limit of a sequence of Dirichlet series with non-negative coefficients. This answers a question of Liu (2001).",

keywords = "Completely monotone functions, ‖⋅‖ approximation",

author = "Loy, \{R. J.\} and Anderssen, \{R. S.\}",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2019",

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doi = "10.1016/j.jat.2019.105301",

language = "English",

volume = "248",

journal = "Journal of Approximation Theory",

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T1 - Lp approximation of completely monotone functions

AU - Loy, R. J.

AU - Anderssen, R. S.

PY - 2019/12

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N2 - We show that any completely monotone Lp function on [0,∞) is the ‖⋅‖p limit of a sequence of Dirichlet series with non-negative coefficients. This answers a question of Liu (2001).

AB - We show that any completely monotone Lp function on [0,∞) is the ‖⋅‖p limit of a sequence of Dirichlet series with non-negative coefficients. This answers a question of Liu (2001).

KW - Completely monotone functions

KW - ‖⋅‖ approximation

UR - https://www.scopus.com/pages/publications/85072711414

U2 - 10.1016/j.jat.2019.105301

DO - 10.1016/j.jat.2019.105301

M3 - Article

SN - 0021-9045

VL - 248

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

M1 - 105301

ER -

L^p approximation of completely monotone functions

Abstract

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