ON STRONG Mα-INTEGRAL OF BANACH-VALUED FUNCTIONS

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Xuexiao You
Jian Cheng
Dafang Zhao

Abstract





In this paper, we define the Banach-valued strong Mαintegral and study the primitive of the strong Mα-integral in terms of the Mα-variational measures. We also prove that every function of bounded variation is a multiplier for the strong Mα-integral.





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