# The Minkowski's inequality by means of a generalized fractional integral

**Authors:** J. Vanterler da C. Sousa, E. Capelas de Oliveira

arXiv: 1705.07191 · 2017-05-23

## TL;DR

This paper generalizes Minkowski's inequality using a fractional integral introduced by Katugampola, establishing new theorems and related inequalities in the context of fractional calculus.

## Contribution

It introduces a novel generalization of reverse Minkowski's inequality via a recently proposed fractional integral, expanding the theoretical framework.

## Key findings

- New theorems on fractional Minkowski's inequality
- Generalization of reverse Minkowski's inequality
- Additional inequalities related to fractional operators

## Abstract

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

## Full text

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## References

37 references — full list in the complete paper: https://tomesphere.com/paper/1705.07191/full.md

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Source: https://tomesphere.com/paper/1705.07191