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ISSN : 1226-0657

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Vol.14 No.2
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ON C-STIELTJES INTEGRAL OF BANACH-VALUED FUNCTIONS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2007, v.14 no.2, pp.71-84
Zhang, Xiaojie
Zhao, Dafang
Ye, Guoju
Zhang,, X. , Zhao,, D. , & Ye,, G. (2007). ON C-STIELTJES INTEGRAL OF BANACH-VALUED FUNCTIONS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 14(2), 71-84.
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Abstract

In this paper, we define the C-Stieltjes integral of the functions mapping an interval [a,b] into a Banach space X with respect to g on [a,b], and the C-Stieltjes representable operators for the vector-valued functions which are the generalizations of the Henstock-Stieltjes representable operators. Some properties of the C-Stieltjes operators and the convergence theorems of the C-Stieltjes integral are given.

keywords
C-integral, C-Stieltjes integral, representable operators

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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