On the Approximately Continuous Foran Integral: Completing Our Chart



Real Analysis Exchange

On the Approximately Continuous Foran Integral: Completing Our Chart

Piotr Sworowski

Source: Real Anal. Exchange Volume 33, Number 1 (2007), 29-40.

Abstract

The paper is a follow-up to our previous work [P.~Sworowski, {\em An answer to some questions of Ene}, Real Analysis Exchange, {\bf30}(1) (2004/05), 183--192], where we have given a chart of relations between four approximately continuous Denjoy-Khintchine type integrals. Here we complete that chart with the approximate Foran integral.

Primary Subjects: 26A39
Keywords: Denjoy integral; Kubota integral; Foran integral; approximately continuous function

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.rae/1209398376
Mathematical Reviews number (MathSciNet): MR2402861


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