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.
Rudolf Výborný (2006)
Mathematica Bohemica
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For a merely continuous partition of unity the PU integral is the Lebesgue integral.
Piotr Sworowski (2007)
Czechoslovak Mathematical Journal
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Using the concept of the -integral, we consider a similarly defined Stieltjes integral. We prove a Riemann-Lebesgue type theorem for this integral and give examples of adjoint classes of functions.
Guoju Ye (2006)
Mathematica Bohemica
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In this paper we give some complete characterizations of the primitive of strongly Henstock-Kurzweil integrable functions which are defined on with values in a Banach space.