A Daniell integral approach to nonstandard Kurzweil-Henstock integral

Ricardo Bianconi; João C. Prandini; Cláudio Possani

Displaying similar documents to “A Daniell integral approach to nonstandard Kurzweil-Henstock integral”

Some characterizations of the primitive of strong Henstock-Kurzweil integrable 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 $ℝ^{m}$ with values in a Banach space.

A constructive integral equivalent to the integral of Kurzweil

Márcia Federson (2002)

Czechoslovak Mathematical Journal

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We slightly modify the definition of the Kurzweil integral and prove that it still gives the same integral.

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...