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

2017/05/10 by J. Vanterler da C. Sousa, Sousa, J. Vanterler da C., E. Capelas de Oliveira +1
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical Inequalities and Applications #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1705.07191

openalex publication_date 2017/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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