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학술저널

THE DENJOY EXTENSION OF THE RIEMANN INTEGRAL

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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].

ABSTRACT

1. Introduction

2. Preliminaries

3. The Denjoy extension of the Riemann integral

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