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On the integration of Riemann-measurable vector-valued functions

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Abstract

We confine our attention to convergence theorems and descriptive relationships within some subclasses of Riemann-measurable vector-valued functions that are based on the various generalizations of the Riemann definition of an integral.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Palermo, Via Archirafi 34, 90123, Palermo, Italy

    Diana Caponetti & Valeria Marraffa

  2. Department of Mathematics, Econometrics and Information Technologies, Moscow State Institute of International Relations, Vernadskogo Ave. 76, Moscow, 119454, Russian Federation

    Kirill Naralenkov

Authors
  1. Diana Caponetti
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  2. Valeria Marraffa
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  3. Kirill Naralenkov
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Corresponding author

Correspondence to Kirill Naralenkov.

Additional information

Research of K. Naralenkov was partially supported by F.F.R. of the University of Palermo. The third named author expresses his appreciation to the University of Palermo Department of Mathematics and Computer Science for its hospitality in summer 2015, during which part of this research was carried out.

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Caponetti, D., Marraffa, V. & Naralenkov, K. On the integration of Riemann-measurable vector-valued functions. Monatsh Math 182, 513–536 (2017). https://doi.org/10.1007/s00605-016-0923-z

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  • DOI: https://doi.org/10.1007/s00605-016-0923-z

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