The Minkowski's inequalities utilizing newly defined generalized fractional integral operators

Year 2019, Volume: 68 Issue: 1, 686 - 701, 01.02.2019

Fuat Usta , Hüseyin Budak , Fatma Ertugral Mehmet Zeki Sarıkaya

https://doi.org/10.31801/cfsuasmas.463983

Cited By: 6

Abstract

Motivated by the recent generalized fractional integral operators proposed by Tunc et. al. <cite>tunc</cite>, we establish a generalization of the reverse Minkowski's inequalities. Within this context, we provide new upper bounds of inequalities utilizing generalized fractional integral operators and show and state other inequalities related to this fractional integral operator.

Keywords

Fractional integral operators, Hermite-Hadamard inequality, midpoint inequality, convex function

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