논문KCI 등재
The Denjoy*-Stieltjes Extension of the Bochner, Dunford, Pettis and McShane Integrals
한국수학교육학회|2008.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제15권 제3호|pp. 315-327
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper we introduce the concepts of Denjoy¤-Stieltjes-Dunford, Denjoy¤-Stieltjes-Pettis, Denjoy¤-Stieltjes-Bochner and Denjoy¤-McShane-Stieltjes integrals of Banach-valued functions using the Denjoy¤-Stieltjes integral of real-valued functions and investigate their properties.
Abstract
In this paper we introduce the concepts of Denjoy¤-Stieltjes-Dunford, Denjoy¤-Stieltjes-Pettis, Denjoy¤-Stieltjes-Bochner and Denjoy¤-McShane-Stieltjes integrals of Banach-valued functions using the Denjoy¤-Stieltjes integral of real-valued functions and investigate their properties.
참고문헌 (9)
- D.H. Fremlin, "On the integration of vector-valued functions", Illinois J. Math, 38(1), pp.127~147 (1994)
- J.L. Gamez, "On Denjoy-Dunford and Denjoy-Pettis integrals", Studia Math, 130(1-2), pp.115~133 (1998)
- R.A. Gordon, "The Denjoy extension of the Bochner, Pettis and Dunford integrals", Studia Math, 92, pp.73~91 (1989)
- "The integrals of Lebesgue, Denjoy, Perron and Henstock. Grad. Stud. Math. 4, Amer. Math. Soc., Providence, R.I.", ~ (1994)
- :The McShane integral of Banach-valued functions.Illinois J.Math.34, "The McShane integral of Banach-valued functions", Illinois J. Math, 34(3), pp.557~567 (1990)
- S. Hu, "Some Remarks on Generalized Riemann Integral", J. Math. Anal. Appl, 137, pp.515~527 (1989)
- C.K. Park, "On Denjoy¤-Stieltjes integral", ~
- J.M. Park, "The Denjoy extension of the McShane integral", Bull. Korean Math. Soc, 33(3), pp.411~417 (1996)
- S. Saks, "Theory of the integral" (1964), Dover
관련 논문AI추천
The ap-Denjoy Integral of Banach-valued Functions김병무, 김영국, 박재명한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제3호ON DENJOY*-STIELTJES INTEGRAL박춘기, 오미나강원경기수학회 · 한국수학논문집2008 · 제16권 제4호Convergence theorems for Denjoy-Pettis integrable fuzzy mappings박춘기강원경기수학회 · 한국수학논문집2010 · 제18권 제3호Convergence theorems for set-valued Denjoy-Pettis integrable mappingsChun-Kee Park대한수학회 · 대한수학회논문집2009 · 제24권 제2호On Henstock integral of fuzzy mappings in Banach spaces박춘기, 오미영강원경기수학회 · 한국수학논문집2009 · 제17권 제3호Convergence theorems for the Choquet-Pettis integral박춘기강원경기수학회 · 한국수학논문집2014 · 제22권 제2호
이 간행물의 다른 논문 (10건)
Null Bertrand Curves in a Lorentz Manifold진대호pp. 209-215Nonparametric Minimal Surface and Harmonic Mapping전숙희pp. 217-220Results on Strong Generalized Neighborhood Spaces민원근pp. 221-227Representation Algorithms in Some Free Groups최수정pp. 229-243Controllability of Semilinear Neutral Functional Differential Evolution Equations with Nonlocal Conditions박종서, 박소현, 박동근, 권영철pp. 245-257
