On the uniform convergence of special sine integrals

Péter Kórus

doi:10.1007/s10474-010-0063-1

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Acta Mathematica Hungarica

Volume/Issue:: Volume 133: Issue 1-2

On the uniform convergence of special sine integrals

Author:

Péter Kórus

Péter Kórus Bolyai Institute, University of Szeged, H-6720 Szeged, Aradi vértanúk tere 1., Hungary

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Pages:: 82–91

Online Publication Date:: 11 Jan 2011

Publication Date:: 01 Oct 2011

Article Category:: Research Article

DOI:: https://doi.org/10.1007/s10474-010-0063-1

Keywords:: sine integral; uniform convergence; supremum bounded variation sequence; supremum bounded variation function; mean value bounded variation sequence; mean value bounded variation function; 42A32; 42A38

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Abstract

We study the uniform convergence of sine integrals of measurable functions on the open half-line. We also extend results of F. Móricz and give examples for appropriate functions.

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Acta Mathematica Hungarica

Print ISSN:: 0236-5294

Online ISSN:: 1588-2632

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Acta Mathematica Hungarica
Language	English
Size	B5
Year of Foundation	1950
Volumes per Year	3
Issues per Year	6
Founder	Magyar Tudományos Akadémia
Founder's Address	H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher	Akadémiai Kiadó Springer Nature Switzerland AG
Publisher's Address	H-1117 Budapest, Hungary 1516 Budapest, PO Box 245. CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible Publisher	Chief Executive Officer, Akadémiai Kiadó
ISSN	0236-5294 (Print)
ISSN	1588-2632 (Online)