논문KCI 등재
ON DENJOY*-STIELTJES INTEGRAL
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In this paper we introduce the concepts of the gener- alized bounded variation in the restricted sense with respect to a strictly increasing function and Denjoy¤-Stieltjes integral of real- valued functions and investigate their properties.
Abstract
In this paper we introduce the concepts of the gener- alized bounded variation in the restricted sense with respect to a strictly increasing function and Denjoy¤-Stieltjes integral of real- valued functions and investigate their properties.
참고문헌 (6)
- S. J. Cho, "Denjoy-type integrals of Banach- valued functions", Comm. Korean Math. Soc, 13(2), pp.307~316 (1998)
- J. L. Gamez, "On Denjoy-Dunford and Denjoy-Pettis integrals", Studia Math, 130, pp.115~133 (1998)
- R. A. Gordon, "The Denjoy extension of the Bochner, Pettis and Dunford in- tegrals", 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)
- S. Hu, "Some remarks on generalized Riemann integral", J. Math. Anal. Appl, 137, pp.515~527 (1989)
- S. Saks, "Theory of the integral" (1964), Dover
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 Denjoy-McShane-Stieltjes integralDenjoy-McShane-Stieltjes integral대한수학회 · 대한수학회논문집2003 · 제18권 제4호Convergence theorems for set-valued Denjoy-Pettis integrable mappingsChun-Kee Park대한수학회 · 대한수학회논문집2009 · 제24권 제2호Some properties of the ap-Denjoy Integral김영국, 박재명, 윤주한대한수학회 · 대한수학회보2005 · 제42권 제3호STIELTJES DERIVATIVES AND ITS APPLICATIONS TO INTEGRAL INEQUALITIES OF STIELTJES TYPEYung Jin Kim한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제1호
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