Characterizing Convergence Conditions for the Mα-Integral

Park, Ryu, and Lee recently defined a Henstock-type integral, which lies entirely between the McShane and the Henstock integrals. This paper presents two characterizing convergence conditions for this integral, and derives other known convergence theorems as corollaries.

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Main Authors:	Garces, Ian June L, Racca, Abraham P
Format:	text
Published:	Archīum Ateneo 2011
Subjects:	Mathematics
Online Access:	https://archium.ateneo.edu/mathematics-faculty-pubs/138 https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1137&context=mathematics-faculty-pubs
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Institution:	Ateneo De Manila University

id	ph-ateneo-arc.mathematics-faculty-pubs-1137
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spelling	ph-ateneo-arc.mathematics-faculty-pubs-11372020-09-11T07:33:20Z Characterizing Convergence Conditions for the Mα-Integral Garces, Ian June L Racca, Abraham P Park, Ryu, and Lee recently defined a Henstock-type integral, which lies entirely between the McShane and the Henstock integrals. This paper presents two characterizing convergence conditions for this integral, and derives other known convergence theorems as corollaries. 2011-09-01T07:00:00Z text application/pdf https://archium.ateneo.edu/mathematics-faculty-pubs/138 https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1137&context=mathematics-faculty-pubs Mathematics Faculty Publications Archīum Ateneo Mathematics
institution	Ateneo De Manila University
building	Ateneo De Manila University Library
country	Philippines
collection	archium.Ateneo Institutional Repository
topic	Mathematics
spellingShingle	Mathematics Garces, Ian June L Racca, Abraham P Characterizing Convergence Conditions for the Mα-Integral
description	Park, Ryu, and Lee recently defined a Henstock-type integral, which lies entirely between the McShane and the Henstock integrals. This paper presents two characterizing convergence conditions for this integral, and derives other known convergence theorems as corollaries.
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	Characterizing Convergence Conditions for the Mα-Integral
title_short	Characterizing Convergence Conditions for the Mα-Integral
title_full	Characterizing Convergence Conditions for the Mα-Integral
title_fullStr	Characterizing Convergence Conditions for the Mα-Integral
title_full_unstemmed	Characterizing Convergence Conditions for the Mα-Integral
title_sort	characterizing convergence conditions for the mα-integral
publisher	Archīum Ateneo
publishDate	2011
url	https://archium.ateneo.edu/mathematics-faculty-pubs/138 https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1137&context=mathematics-faculty-pubs
_version_	1681506843535343616

Characterizing Convergence Conditions for the Mα-Integral

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