논문KCI 등재
ON C-STIELTJES INTEGRAL OF BANACH-VALUED FUNCTIONS
한국수학교육학회|2007.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제14권 제2호|pp. 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.
참고문헌 (5)
- "Some properties of the ap-Denjoy Integral", pp.535~541
- "A Rieman-type minimal integral for the classical problem of primitives", pp.143~153, Univ
- "Topics in Banach space integration"
- "Lanzhou Lectures on Henstock integration" (1989)
- "The Denjoy extension of the Bochner", pp.73~91 (1989)
관련 논문AI추천
The Denjoy*-Stieltjes Extension of the Bochner, Dunford, Pettis and McShane Integrals박춘기, 오미나한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제3호The ap-Denjoy Integral of Banach-valued Functions김병무, 김영국, 박재명한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제3호On Henstock integral of fuzzy mappings in Banach spaces박춘기, 오미영강원경기수학회 · 한국수학논문집2009 · 제17권 제3호On the Pettis integral of fuzzy mappings in Banach spaces박춘기대한수학회 · 대한수학회논문집2007 · 제22권 제4호ON DENJOY*-STIELTJES INTEGRAL박춘기, 오미나강원경기수학회 · 한국수학논문집2008 · 제16권 제4호On McShane-Stieltjes integrals of interval-valued functions and fuzzy-number-valued functions박춘기대한수학회 · 대한수학회보2004 · 제41권 제2호
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