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Ostrowski type inequalities and applications in numerical integration for interval-valued functions

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Abstract

The present paper is devoted to obtaining new Ostrowski type inequalities for interval-valued functions using the generalized Hukuhara derivative for interval-valued functions which is the concept more general of derivative for interval-valued functions. As an application, we obtain an error estimation to quadrature rules for interval-valued functions.

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Author information

Authors and Affiliations

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

    Y. Chalco-Cano

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

    W. A. Lodwick

  3. Universidad de San Andrés, La Paz, Bolivia

    W. Condori-Equice

Authors
  1. Y. Chalco-Cano
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  2. W. A. Lodwick
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  3. W. Condori-Equice
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Corresponding author

Correspondence to Y. Chalco-Cano.

Additional information

Communicated by V. Loia.

The research in this article has been supported by Fondecyt-Chile project 1120665.

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Chalco-Cano, Y., Lodwick, W.A. & Condori-Equice, W. Ostrowski type inequalities and applications in numerical integration for interval-valued functions. Soft Comput 19, 3293–3300 (2015). https://doi.org/10.1007/s00500-014-1483-6

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  • DOI: https://doi.org/10.1007/s00500-014-1483-6

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