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An inequality for integrals of the form ∫x f (t)eit dt

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An inequality for integrals of the form ∫x f (t)eit dt. / Jameson, Graham James Oscar.
In: Journal of Mathematical Inequalities, Vol. 10, No. 2, 10-39, 06.2016, p. 505-509.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Jameson, GJO 2016, 'An inequality for integrals of the form ∫x f (t)eit dt', Journal of Mathematical Inequalities, vol. 10, no. 2, 10-39, pp. 505-509. https://doi.org/10.7153/jmi-10-39

APA

Jameson, G. J. O. (2016). An inequality for integrals of the form ∫x f (t)eit dt. Journal of Mathematical Inequalities, 10(2), 505-509. Article 10-39. https://doi.org/10.7153/jmi-10-39

Vancouver

Jameson GJO. An inequality for integrals of the form ∫x f (t)eit dt. Journal of Mathematical Inequalities. 2016 Jun;10(2):505-509. 10-39. doi: 10.7153/jmi-10-39

Author

Jameson, Graham James Oscar. / An inequality for integrals of the form ∫x f (t)eit dt. In: Journal of Mathematical Inequalities. 2016 ; Vol. 10, No. 2. pp. 505-509.

Bibtex

@article{f5714cb6d6fd496290249fa12d5f4c30,
title = "An inequality for integrals of the form ∫x∞ f (t)eit dt",
abstract = "It is shown that for a completely monotonic function f , the absolute value of ∫x∞ f (t)eit dt is not greater than f(x).",
author = "Jameson, {Graham James Oscar}",
year = "2016",
month = jun,
doi = "10.7153/jmi-10-39",
language = "English",
volume = "10",
pages = "505--509",
journal = "Journal of Mathematical Inequalities",
issn = "1848-9575",
publisher = "Element d.o.o.",
number = "2",

}

RIS

TY - JOUR

T1 - An inequality for integrals of the form ∫x∞ f (t)eit dt

AU - Jameson, Graham James Oscar

PY - 2016/6

Y1 - 2016/6

N2 - It is shown that for a completely monotonic function f , the absolute value of ∫x∞ f (t)eit dt is not greater than f(x).

AB - It is shown that for a completely monotonic function f , the absolute value of ∫x∞ f (t)eit dt is not greater than f(x).

U2 - 10.7153/jmi-10-39

DO - 10.7153/jmi-10-39

M3 - Journal article

VL - 10

SP - 505

EP - 509

JO - Journal of Mathematical Inequalities

JF - Journal of Mathematical Inequalities

SN - 1848-9575

IS - 2

M1 - 10-39

ER -