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Inequalities of Jensen and Chebyshev Type for Interval-Valued Measures Based on Pseudo-integrals

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Intelligent Systems: Models and Applications

Part of the book series: Topics in Intelligent Engineering and Informatics ((TIEI,volume 3))

Abstract

Since interval-valued measures have applications in number of practical areas, this paper is focused on two approaches to this problem as well as on the corresponding generalizations of the Jensen and the Chebyshev integral inequalities. The first approach is based on an interval-valued measure defined by the pseudo-integral of interval-valued function, while the second approach considers an interval-valued measure obtained through pseudo-integrals of real-valued functions.

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Author information

Authors and Affiliations

  1. Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia

    Tatjana Grbić & Slavica Medić

  2. Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia

    Ivana Štajner-Papuga

  3. Faculty of Technology, University of Novi Sad, Novi Sad, Serbia

    Tatjana Došenović

Authors
  1. Tatjana Grbić
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  2. Slavica Medić
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  3. Ivana Štajner-Papuga
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  4. Tatjana Došenović
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Correspondence to Tatjana Grbić .

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Editors and Affiliations

  1. , Faculty of Sciences and Mathematics, University of Novi Sad, Trg Dositeja Obradovica 4, Novi Sad, 21000, Serbia

    Endre Pap

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Grbić, T., Medić, S., Štajner-Papuga, I., Došenović, T. (2013). Inequalities of Jensen and Chebyshev Type for Interval-Valued Measures Based on Pseudo-integrals. In: Pap, E. (eds) Intelligent Systems: Models and Applications. Topics in Intelligent Engineering and Informatics, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33959-2_2

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  • DOI: https://doi.org/10.1007/978-3-642-33959-2_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33958-5

  • Online ISBN: 978-3-642-33959-2

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