APPROXIMATION of and by COMPLETELY MONOTONEa FUNCTIONS

R. J. Loy; R. S. Anderssen

doi:10.1017/S1446181120000012

APPROXIMATION of and by COMPLETELY MONOTONEa FUNCTIONS

R. J. Loy, R. S. Anderssen

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

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Abstract

We investigate convergence in the cone of completely monotone functions. Particular attention is paid to the approximation of and by exponentials and stretched exponentials. The need for such an analysis is a consequence of the fact that although stretched exponentials can be approximated by sums of exponentials, exponentials cannot in general be approximated by sums of stretched exponentials.

Original language	English
Pages (from-to)	416-430
Number of pages	15
Journal	ANZIAM Journal
Volume	61
Issue number	4
DOIs	https://doi.org/10.1017/S1446181120000012
Publication status	Published - 1 Oct 2019

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title = "APPROXIMATION of and by COMPLETELY MONOTONEa FUNCTIONS",

abstract = "We investigate convergence in the cone of completely monotone functions. Particular attention is paid to the approximation of and by exponentials and stretched exponentials. The need for such an analysis is a consequence of the fact that although stretched exponentials can be approximated by sums of exponentials, exponentials cannot in general be approximated by sums of stretched exponentials.",

keywords = "approximation, complete and absolute monotonicity, completely monotone and Kohlrausch functions, stretched exponential, uniform and pointwise convergence.",

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

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year = "2019",

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AU - Anderssen, R. S.

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N2 - We investigate convergence in the cone of completely monotone functions. Particular attention is paid to the approximation of and by exponentials and stretched exponentials. The need for such an analysis is a consequence of the fact that although stretched exponentials can be approximated by sums of exponentials, exponentials cannot in general be approximated by sums of stretched exponentials.

AB - We investigate convergence in the cone of completely monotone functions. Particular attention is paid to the approximation of and by exponentials and stretched exponentials. The need for such an analysis is a consequence of the fact that although stretched exponentials can be approximated by sums of exponentials, exponentials cannot in general be approximated by sums of stretched exponentials.

KW - approximation

KW - complete and absolute monotonicity

KW - completely monotone and Kohlrausch functions

KW - stretched exponential

KW - uniform and pointwise convergence.

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DO - 10.1017/S1446181120000012

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VL - 61

SP - 416

EP - 430

JO - ANZIAM Journal

JF - ANZIAM Journal

IS - 4

ER -

APPROXIMATION of and by COMPLETELY MONOTONEa FUNCTIONS

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