Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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REMARKS ON DENJOY-DUNFORD AND DENJOY-PETTIS INTEGRALS

  • Park, Chun-Kee (Department of Mathematics Kangwon National University)
  • Published : 2000.01.01
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Abstract

In this paper we generalize some results of R. A. Gordon ([4]) and J. L. Garmez and J. Mendoza ([3]) and prove some convergence theorems for Denjoy-Dunford and Denjoy-Pettis integrable functions.

Keywords

References

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  4. Studia Math. v.92 The Denjoy extension of the Bochner, Pettis and Dunford inte-grals R. A. Gordon
  5. Grad. Stud. Math. v.4 The integrals of Lebesque, Denjoy, Perron and Henstock
  6. Mem. Amer. Math. Soc. v.85 Denjoy integration in abstract spaces D. W. Solomon