On Generalized Stieltjes Functions

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Standard

On Generalized Stieltjes Functions. / Koumandos, Stamatis; Pedersen, Henrik L.

I: Constructive Approximation, Bind 50, Nr. 1, 2019, s. 129-144.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Koumandos, S & Pedersen, HL 2019, 'On Generalized Stieltjes Functions', Constructive Approximation, bind 50, nr. 1, s. 129-144. https://doi.org/10.1007/s00365-018-9440-8

APA

Koumandos, S., & Pedersen, H. L. (2019). On Generalized Stieltjes Functions. Constructive Approximation, 50(1), 129-144. https://doi.org/10.1007/s00365-018-9440-8

Vancouver

Koumandos S, Pedersen HL. On Generalized Stieltjes Functions. Constructive Approximation. 2019;50(1):129-144. https://doi.org/10.1007/s00365-018-9440-8

Author

Koumandos, Stamatis ; Pedersen, Henrik L. / On Generalized Stieltjes Functions. I: Constructive Approximation. 2019 ; Bind 50, Nr. 1. s. 129-144.

Bibtex

@article{cddc8c667d614d30bca8defff5f5091a,
title = "On Generalized Stieltjes Functions",
abstract = "It is shown that a function f is a generalized Stieltjes function of order (Formula presented.) if and only if (Formula presented.) is completely monotonic for all (Formula presented.), thereby complementing a result due to Sokal. Furthermore, a characterization of those completely monotonic functions f for which (Formula presented.) is completely monotonic for all (Formula presented.) is obtained in terms of properties of the representing measure of f.",
keywords = "Completely monotonic function, Generalized Stieltjes function, Laplace transform",
author = "Stamatis Koumandos and Pedersen, {Henrik L.}",
year = "2019",
doi = "10.1007/s00365-018-9440-8",
language = "English",
volume = "50",
pages = "129--144",
journal = "Constructive Approximation",
issn = "0176-4276",
publisher = "Springer",
number = "1",

}

RIS

TY - JOUR

T1 - On Generalized Stieltjes Functions

AU - Koumandos, Stamatis

AU - Pedersen, Henrik L.

PY - 2019

Y1 - 2019

N2 - It is shown that a function f is a generalized Stieltjes function of order (Formula presented.) if and only if (Formula presented.) is completely monotonic for all (Formula presented.), thereby complementing a result due to Sokal. Furthermore, a characterization of those completely monotonic functions f for which (Formula presented.) is completely monotonic for all (Formula presented.) is obtained in terms of properties of the representing measure of f.

AB - It is shown that a function f is a generalized Stieltjes function of order (Formula presented.) if and only if (Formula presented.) is completely monotonic for all (Formula presented.), thereby complementing a result due to Sokal. Furthermore, a characterization of those completely monotonic functions f for which (Formula presented.) is completely monotonic for all (Formula presented.) is obtained in terms of properties of the representing measure of f.

KW - Completely monotonic function

KW - Generalized Stieltjes function

KW - Laplace transform

UR - http://www.scopus.com/inward/record.url?scp=85048833704&partnerID=8YFLogxK

U2 - 10.1007/s00365-018-9440-8

DO - 10.1007/s00365-018-9440-8

M3 - Journal article

AN - SCOPUS:85048833704

VL - 50

SP - 129

EP - 144

JO - Constructive Approximation

JF - Constructive Approximation

SN - 0176-4276

IS - 1

ER -

ID: 203596168