Real Analysis Exchange

A Change of Variables Formula for Darboux Integrals

F. S. Cater

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We offer an inequality involving upper and lower Darboux integrals of bounded real functions which implies a number of variations of the change of variables formula for Riemann integrals.

Article information

Real Anal. Exchange, Volume 24, Number 1 (1998), 467-476.

First available in Project Euclid: 23 March 2011

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 26A39: Denjoy and Perron integrals, other special integrals 26A42: Integrals of Riemann, Stieltjes and Lebesgue type [See also 28-XX]

Darboux integral Riemann integral


Cater, F. S. A Change of Variables Formula for Darboux Integrals. Real Anal. Exchange 24 (1998), no. 1, 467--476.

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