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Integration by Parts for Perron Type Integrals of Order 1 and 2 in Riesz Spaces

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An Erratum to this article was published on 19 March 2010

Abstract.

A Perron-type integral of order 1 and 2 for Riesz-space-valued functions is investigated. Some versions of integration by parts formula for this integral are proved for both orders.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Via Vanvitelli, 1, I-06123, Perugia, Italy

    A. Boccuto & A. R. Sambucini

  2. Department of Mathematics, Moscow State University, RUS-119992, Moscow, Russia

    V. A. Skvortsov

  3. Mathematical Institute, Universytet Kazimierza Wielkiego, PL-85-065, Bydgoszcz, Poland

    V. A. Skvortsov

Authors
  1. A. Boccuto
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  2. A. R. Sambucini
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  3. V. A. Skvortsov
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Corresponding author

Correspondence to A. Boccuto.

Additional information

Received: September 4, 2006. Revised: May 4, 2007.

Supported by RFFI-0.5.01.00206.

An erratum to this article can be found online at http://dx.doi.org/10.1007/s00025-010-0023-7.

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Boccuto, A., Sambucini, A.R. & Skvortsov, V.A. Integration by Parts for Perron Type Integrals of Order 1 and 2 in Riesz Spaces. Result. Math. 51, 5–27 (2007). https://doi.org/10.1007/s00025-007-0254-4

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  • DOI: https://doi.org/10.1007/s00025-007-0254-4

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