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Some integral inequalities for interval-valued functions

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Abstract

In this paper, we explore some integral inequalities for interval-valued functions. More precisely, using the Kulisch–Miranker order on the space of real and compact intervals, we establish Minkowski’s inequality and then we derive Beckenbach’s inequality via an interval Radon’s inequality. Also, some examples and applications are presented for illustrating our results.

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Authors and Affiliations

  1. Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica, Chile

    H. Román-Flores & Y. Chalco-Cano

  2. Department of Mathematical and Statistical Sciences, University of Colorado, Denver, CO, 80217, USA

    W. A. Lodwick

Authors
  1. H. Román-Flores
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  2. Y. Chalco-Cano
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  3. W. A. Lodwick
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Corresponding author

Correspondence to H. Román-Flores.

Additional information

Communicated by Marko Rojas-Medar.

This work was supported in part by Conicyt-Chile through Projects Fondecyt 1120674 and 1120665. Also, W. A. Lodwick was supported in part by FAPESP 2011/13985.

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Román-Flores, H., Chalco-Cano, Y. & Lodwick, W.A. Some integral inequalities for interval-valued functions. Comp. Appl. Math. 37, 1306–1318 (2018). https://doi.org/10.1007/s40314-016-0396-7

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  • DOI: https://doi.org/10.1007/s40314-016-0396-7

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