Article
Kyungpook Mathematical Journal 2020; 60(2): 289-295
Published online June 30, 2020
Copyright © Kyungpook Mathematical Journal.
Minkowski's Inequality for Variational Fractional Integrals
Azizollah Babakhani
Department of Mathematics, Faculty of Basic Science, Babol Noshirvani University of Technology, Shariati Ave., 47148-71167 Babol, Iran e-mail : babakhani@nit.ac.ir
Received: February 4, 2016; Revised: February 1, 2019; Accepted: March 4, 2019
Minkowski’s inequality is one of the most famous inequalities in mathematics, and has many applications. In this paper, we give Minkowski’s inequality for generalized variational integrals that are based on a supermultiplicative function. Our results include previous results about fractional integral inequalities of Minkowski’s type.
Keywords: inequality, Riemann-Liouville fractional integral, variational integral