Displaying similar documents to “Maple tools for the Kurzweil integral”

Adjoint classes of functions in the H 1 sense

Piotr Sworowski (2007)

Czechoslovak Mathematical Journal

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Using the concept of the H 1 -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.

A multidimensional integration by parts formula for the Henstock-Kurzweil integral

Tuo-Yeong Lee (2008)

Mathematica Bohemica

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It is shown that if g is of bounded variation in the sense of Hardy-Krause on i = 1 m [ a i , b i ] , then g χ i = 1 m ( a i , b i ) is of bounded variation there. As a result, we obtain a simple proof of Kurzweil’s multidimensional integration by parts formula.