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Czechoslovak Mathematical Journal
Article . 1998 . Peer-reviewed
License: Springer TDM
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Article . 1998
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The kurzweil construction of an integral in ordered spaces

The Kurzweil construction of an integral in ordered spaces
Authors: Riečan, Beloslav; Vrábelová, Marta;

The kurzweil construction of an integral in ordered spaces

Abstract

For functions and regular measures with values in abstract Abelian lattice ordered groups the Kurzweil type integral over a Hausdorff compact topological space is introduced and it is shown that some of the usual convergence theorems can be proved in this abstract setting.

Keywords

limit theorems, Set functions, measures and integrals with values in ordered spaces, Denjoy and Perron integrals, other special integrals, Kurzweil-Henstock integral, lattice ordered group valued function, lattice ordered group valued measure

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
bronze