The Perron integral of order k in Riesz spaces |
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| Authors: | Antonio Boccuto Valentin A. Skvortsov |
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| Affiliation: | 1.Dipartimento di Matematica e Informatica,University of Perugia,Perugia,Italy;2.Department of Mathematics,Moscow State University,Moscow,Russia;3.Instytut Matematyki,Uniwersytet Kazimierza Wielkiego,Bydgoszcz,Poland |
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| Abstract: | A Perron-type integral of order k for Riesz-space-valued functions is defined in terms of the Peano derivatives. Some fundamental properties of this integral, including an integration by parts formula, are presented. |
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