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http://dx.doi.org/10.14403/jcms.2013.26.2.259

ON STRONG Mα-INTEGRAL OF BANACH-VALUED FUNCTIONS  

You, Xuexiao (School of Mathematics and Statistics Hubei Normal University)
Cheng, Jian (School of Mathematics and Statistics Hubei Normal University)
Zhao, Dafang (School of Mathematics and Statistics Hubei Normal University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.26, no.2, 2013 , pp. 259-268 More about this Journal
Abstract
In this paper, we define the Banach-valued strong $M_{\alpha}$-integral and study the primitive of the strong $M_{\alpha}$-integral in terms of the $M_{\alpha}$-variational measures. We also prove that every function of bounded variation is a multiplier for the strong $M_{\alpha}$-integral.
Keywords
$M_{\alpha}$-integral; strong $M_{\alpha}$-integral; $M_{\alpha}$-variational measure;
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Times Cited By KSCI : 1  (Citation Analysis)
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