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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.14 No.2

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ON C-STIELTJES INTEGRAL OF BANACH-VALVED FUNCTIONS

ON C-STIELTJES INTEGRAL OF BANACH-VALUED FUNCTIONS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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, 14(2), 71-84.

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

한국수학교육학회지시리즈B:순수및응용수학

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