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

Jameson, Graham James Oscar (2016) An inequality for integrals of the form ∫x∞ f (t)eit dt. Journal of Mathematical Inequalities, 10 (2): 10-39. pp. 505-509. ISSN 1848-9575

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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).

Item Type:

Journal Article

Journal or Publication Title:

Journal of Mathematical Inequalities

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2603

Subjects:

?? analysis ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

83683

Deposited By:

ep_importer_pure

Deposited On:

16 Dec 2016 11:30

Refereed?:

Yes

Published?:

Published

Last Modified:

15 Jul 2024 16:41

URI:

https://eprints.lancs.ac.uk/id/eprint/83683