Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
권호 표지

THE DENJOY EXTENSION OF THE RIEMANN INTEGRAL

  • Park, Jae Myung (Department of Mathematics Chungnam National University) ;
  • Kim, Soo Jin (Department of Mathematics Chungnam National University)
  • Received : 1996.06.14
  • Published : 1996.06.30
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we will consider the Denjoy-Riemann integral of functions mapping a closed interval into a Banach space. We will show that a Riemann integrable function on [a, b] is Denjoy-Riemann integrable on [a, b] and that a Denjoy-Riemann integrable function on [a, b] is Denjoy-McShane integrable on [a, b].

Keywords