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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Bibliographic Details
Main Authors: Garces, Ian June L, Racca, Abraham P
Format: text
Published: Archīum Ateneo 2011
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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
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Summary: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.