Cauchy Extension of Mα-Integral and Absolute Mα-Integrability

Park, Ryu, and Lee recently introduced a Henstock-type integral, which lies between the Mcshane and the Henstock integrals. This paper proves the closure property of this new integral under Cauchy extension, and presents a characterization on absolute Mα-integrability

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Main Authors:	Garces, Ian June L, Racca, Abraham P
Format:	text
Published:	Archīum Ateneo 2015
Subjects:	Mα-integral Cauchy extension absolute Mα-integrable Mathematics
Online Access:	https://archium.ateneo.edu/mathematics-faculty-pubs/49 https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1048&context=mathematics-faculty-pubs
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Institution:	Ateneo De Manila University

id	ph-ateneo-arc.mathematics-faculty-pubs-1048
record_format	eprints
spelling	ph-ateneo-arc.mathematics-faculty-pubs-10482020-03-06T06:20:15Z Cauchy Extension of Mα-Integral and Absolute Mα-Integrability Garces, Ian June L Racca, Abraham P Park, Ryu, and Lee recently introduced a Henstock-type integral, which lies between the Mcshane and the Henstock integrals. This paper proves the closure property of this new integral under Cauchy extension, and presents a characterization on absolute Mα-integrability 2015-01-01T08:00:00Z text application/pdf https://archium.ateneo.edu/mathematics-faculty-pubs/49 https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1048&context=mathematics-faculty-pubs Mathematics Faculty Publications Archīum Ateneo Mα-integral Cauchy extension absolute Mα-integrable Mathematics
institution	Ateneo De Manila University
building	Ateneo De Manila University Library
country	Philippines
collection	archium.Ateneo Institutional Repository
topic	Mα-integral Cauchy extension absolute Mα-integrable Mathematics
spellingShingle	Mα-integral Cauchy extension absolute Mα-integrable Mathematics Garces, Ian June L Racca, Abraham P Cauchy Extension of Mα-Integral and Absolute Mα-Integrability
description	Park, Ryu, and Lee recently introduced a Henstock-type integral, which lies between the Mcshane and the Henstock integrals. This paper proves the closure property of this new integral under Cauchy extension, and presents a characterization on absolute Mα-integrability
format	text
author	Garces, Ian June L Racca, Abraham P
author_facet	Garces, Ian June L Racca, Abraham P
author_sort	Garces, Ian June L
title	Cauchy Extension of Mα-Integral and Absolute Mα-Integrability
title_short	Cauchy Extension of Mα-Integral and Absolute Mα-Integrability
title_full	Cauchy Extension of Mα-Integral and Absolute Mα-Integrability
title_fullStr	Cauchy Extension of Mα-Integral and Absolute Mα-Integrability
title_full_unstemmed	Cauchy Extension of Mα-Integral and Absolute Mα-Integrability
title_sort	cauchy extension of mα-integral and absolute mα-integrability
publisher	Archīum Ateneo
publishDate	2015
url	https://archium.ateneo.edu/mathematics-faculty-pubs/49 https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1048&context=mathematics-faculty-pubs
_version_	1681506543534604288

Cauchy Extension of Mα-Integral and Absolute Mα-Integrability

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