A Volterra type derivative of the Lebesgue integral

Pfeffer, Washek F.

doi:10.1090/S0002-9939-1993-1135079-1

A Volterra type derivative of the Lebesgue integral
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by Washek F. Pfeffer

Proc. Amer. Math. Soc. 117 (1993), 411-416

DOI: https://doi.org/10.1090/S0002-9939-1993-1135079-1

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Abstract:

Using functions of bounded variation, we define a Volterra type derivative of the linear functional associated with a Lebesgue integrable function and show that it is equal to this function almost everywhere.

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