Real Analysis Exchange

On Henstockʼs Inner Variation and Strong Derivatives

Chew Tuan Seng

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The Lebesgue and Bochner integrals are characterized by strong derivatives, inner variation and Lusin condition in this note.

Article information

Real Anal. Exchange, Volume 27, Number 2 (2001), 725-734.

First available in Project Euclid: 2 June 2008

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 26A24: Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems [See also 28A15] 26A39: Denjoy and Perron integrals, other special integrals

Inner variation strong derivative Lebesgue integral McShane integral


Seng, Chew Tuan. On Henstockʼs Inner Variation and Strong Derivatives. Real Anal. Exchange 27 (2001), no. 2, 725--734.

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