• Journal of the Chungcheong Mathematical Society
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• v.17 no.2
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• pp.147-162
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• 2004

In this paper, we investigate the relations between the McShane and Pettis integrals.

• Journal of the Chungcheong Mathematical Society
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• v.21 no.1
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• pp.49-56
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• 2008

In this paper, we define the $H_1$ - Stieltjes integral of Banach-valued functions which is a generalization of real-valued $H_1$ - Stieltjes integral and investigate some properties of $H_1$ - Stieltjes integral. Also we show that if $f:[a,b]{\rightarrow}X$ be a function with ${\dim}X\;<\;{\infty}$, then $f{\in}H_1LS([a,b],X,{\alpha})$ if and only if $f{\in}H_1S([a,b],X,{\alpha})$.