The dual of the space of functions of bounded variation

Khaing Khaing Aye; Peng Yee Lee

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Displaying similar documents to “The dual of the space of functions of bounded variation”

Kurzweil’s PU integral as the Lebesgue integral

Rudolf Výborný (2006)

Mathematica Bohemica

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For a merely continuous partition of unity the PU integral is the Lebesgue integral.

Bounded linear functionals on the space of Henstock-Kurzweil integrable functions

Tuo-Yeong Lee (2009)

Czechoslovak Mathematical Journal

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Applying a simple integration by parts formula for the Henstock-Kurzweil integral, we obtain a simple proof of the Riesz representation theorem for the space of Henstock-Kurzweil integrable functions. Consequently, we give sufficient conditions for the existence and equality of two iterated Henstock-Kurzweil integrals.