CHARACTERIZING CONVERGENCE CONDITIONS FOR THE Mα-INTEGRAL

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Published: Aug 15, 2011
DOI: https://doi.org/10.14403/jcms.2011.24.3.469
Keywords:
Mα-integral, Mα-convergence, equi-integrability
Mathematics Subject Classification (2020):
Primary 26A39

Main Article Content

Ian June Luzon Garces
Department of Mathematics, Ateneo de Manila University
Abraham Perral Racca
Mathematics and Physics Department, Adventist University of the Philippines

Abstract





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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Article Details

Issue
Vol. 24 No. 3 (2011)
Section
Articles