On variations of functions of one real variable

Washek Frank Pfeffer

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Displaying similar documents to “On variations of functions of one real variable”

On indefinite BV-integrals

Donatella Bongiorno, Udayan B. Darji, Washek Frank Pfeffer (2000)

Commentationes Mathematicae Universitatis Carolinae

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We present an example of a locally BV-integrable function in the real line whose indefinite integral is not the sum of a locally absolutely continuous function and a function that is Lipschitz at all but countably many points.

Riemann-type definition of the improper integrals

Donatella Bongiorno (2004)

Czechoslovak Mathematical Journal

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Riemann-type definitions of the Riemann improper integral and of the Lebesgue improper integral are obtained from McShane’s definition of the Lebesgue integral by imposing a Kurzweil-Henstock’s condition on McShane’s partitions.