• Journal of the Chungcheong Mathematical Society
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• v.23 no.1
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• pp.99-108
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• 2010

In this paper, we define the $M_{\alpha}$-integral and investigate properties of the $M_{\alpha}$-integral.

• Journal of the Chungcheong Mathematical Society
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• v.25 no.1
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• pp.115-125
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• 2012

In this paper, we define the $M_{\alpha}$-integral of Banach-valued functions and investigate some properties of the $M_{\alpha}$-integral.

• Journal of the Chungcheong Mathematical Society
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• v.24 no.2
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• pp.383-391
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• 2011

In this paper, we investigate some properties of the $M_{\alpha}$-integral and prove convergence theorems for the $M_{\alpha}$-integral.

• Journal of the Chungcheong Mathematical Society
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• v.23 no.4
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• pp.861-870
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• 2010

In this paper, we define the $M_{\alpha}$-integral and prove the integration by parts formula for the $M_{\alpha}$-integral.