The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 14 Issue 2 Serial No. 36
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- Pages.71-84
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- 2007
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
ON C-STIELTJES INTEGRAL OF BANACH-VALVED FUNCTIONS
- Zhang, Xiaojie (COLLEGE OF SCIENCE, HOHAI UNIVERSITY) ;
- Zhao, Dafang (COLLEGE OF SCIENCE, HOHAI UNIVERSITY) ;
- Ye, Guoju (COLLEGE OF SCIENCE, HOHAI UNIVERSITY)
- Published : 2007.05.31
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.