AIMS Mathematics (Mar 2018)

The Minkowski’s inequality by means of a generalized fractional integral

  • J. Vanterler da C. Sousa,
  • E. Capelas de Oliveira

DOI
https://doi.org/10.3934/Math.2018.1.131
Journal volume & issue
Vol. 3, no. 1
pp. 131 – 147

Abstract

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We use the definition of a fractional integral, recently proposed by Katugampola, to establisha generalization of the reverse Minkowski’s inequality. We show two new theorems associatedwith this inequality, as well as state and show other inequalities related to this fractional operator.

Keywords