ON C-STIELTJES INTEGRAL OF BANACH-VALUED FUNCTIONS

한국수학교육학회지시리즈B:순수및응용수학 / 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 (COLLEGE OF SCIENCE, HOHAI UNIVERSITY)
Zhao, Dafang (COLLEGE OF SCIENCE, HOHAI UNIVERSITY)
Ye, Guoju (COLLEGE OF SCIENCE, HOHAI UNIVERSITY)

Zhang, Xiaojie, Zhao, Dafang, & Ye, Guoju. (2007). ON C-STIELTJES INTEGRAL OF BANACH-VALVED FUNCTIONS. 한국수학교육학회지시리즈B:순수및응용수학, 14(2), 71-84.

복사

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

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논문 상세

Vol.14 No.2

ON C-STIELTJES INTEGRAL OF BANACH-VALVED FUNCTIONS

ON C-STIELTJES INTEGRAL OF BANACH-VALUED FUNCTIONS

Abstract

한국수학교육학회지시리즈B:순수및응용수학