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Properties of Mappings Related to the Minkowski Inequality

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Abstract

In this paper we obtain properties of several mappings which are arisen from the Minkowski inequality. We investigate superadditivity (subadditivity) and monotonicity of those functions, and give some refinements of the Minkowski inequality and the Hölder inequality.

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Authors and Affiliations

  1. Faculty of Transport and Traffic Engineering, University of Zagreb, Vukelićeva 4, 10000, Zagreb, Croatia

    Božidar Ivanković

  2. Faculty of Textile Technology, University of Zagreb, Baruna Filipovića 28a, 10000, Zagreb, Croatia

    Josip Pečarić

  3. Department of Mathematics, University of Zagreb, Bijenička 30, 10000, Zagreb, Croatia

    Sanja Varošanec

Authors
  1. Božidar Ivanković
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  2. Josip Pečarić
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  3. Sanja Varošanec
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Corresponding author

Correspondence to Sanja Varošanec.

Additional information

The research was supported by the Ministry of Science, Education and Sports of the Republic of Croatia under grants 058-1170889-1050 and 117-1170889-0888.

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Ivanković, B., Pečarić, J. & Varošanec, S. Properties of Mappings Related to the Minkowski Inequality. Mediterr. J. Math. 8, 543–551 (2011). https://doi.org/10.1007/s00009-010-0104-6

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  • DOI: https://doi.org/10.1007/s00009-010-0104-6

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