A note on the GP-integral
Shu Sheng Fu (1989)
Časopis pro pěstování matematiky
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Displaying similar documents to “The Kurzweil integral with exclusion of negligible sets”
A note on the GP-integral
Regulated functions and the Perron-Stieltjes integral
Milan Tvrdý (1989)
Časopis pro pěstování matematiky
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On the strong McShane integral of functions with values in a Banach space
Štefan Schwabik, Ye Guoju (2001)
Czechoslovak Mathematical Journal
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The classical Bochner integral is compared with the McShane concept of integration based on Riemann type integral sums. It turns out that the Bochner integrable functions form a proper subclass of the set of functions which are McShane integrable provided the Banach space to which the values of functions belong is infinite-dimensional. The Bochner integrable functions are characterized by using gauge techniques. The situation is different in the case of finite-dimensional valued vector...
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.
Another Perron type integration in dimensions as an extension of integration of stepfunctions
Jiří Jarník, Jaroslav Kurzweil (1997)
Czechoslovak Mathematical Journal
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For a new Perron-type integral a concept of convergence is introduced such that the limit of a sequence of integrable functions , is integrable and any integrable is the limit of a sequence of stepfunctions , .