THE DENJOY EXTENSION OF THE RIEMANN INTEGRAL

• 발행기관: 충청수학회
• 저자명: JAE MYUNG PARK SOO JIN KIM
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 9, No. 1, 101~106쪽, 전체 6쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 1996.07.30

영문 초록

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].

목차

ABSTRACT

1. Introduction

2. Preliminaries

3. The Denjoy extension of the Riemann integral

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