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http://dx.doi.org/10.4134/CKMS.c210043

A FUNDAMENTAL THEOREM OF CALCULUS FOR THE Mα-INTEGRAL  

Racca, Abraham Perral (Mathematics and Physics Department Adventist University of the Philippines)
Publication Information
Communications of the Korean Mathematical Society / v.37, no.2, 2022 , pp. 415-421 More about this Journal
Abstract
This paper presents a fundamental theorem of calculus, an integration by parts formula and a version of equiintegrability convergence theorem for the Mα-integral using the Mα-strong Lusin condition. In the convergence theorem, to be able to relax the condition of being point-wise convergent everywhere to point-wise convergent almost everywhere, the uniform Mα-strong Lusin condition was imposed.
Keywords
$M_{\alpha}-integral$; $M_{\alpha}-SL$; fundamental theorem of calculus; integration by parts;
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Times Cited By KSCI : 1  (Citation Analysis)
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