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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao zbMATH Openarrow_drop_down
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On the Kurzweil integral for functions with values in ordered spaces. I

Authors: Riečan, Beloslav;

On the Kurzweil integral for functions with values in ordered spaces. I

Abstract

The purpose of the author is to define a Kurzweil-Henstock integral for functions \(f: [a,b]\to X\), where \(X\) is a linear lattice, with respect to a Borel measure on \([a,b]\), and to formulate elementary consequences of the definition.

Keywords

Borel measure, linear lattice, Set functions, measures and integrals with values in ordered spaces, Denjoy and Perron integrals, other special integrals, Kurzweil-Henstock integral

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