Some new inequalities involving \(\kappa \)-fractional integral for certain classes of functions and their applications
type: Item
instance of: scholarly article
title: Some new inequalities involving \(\kappa \)-fractional integral for certain classes of functions and their applications
zbMATH Open document ID: 1437.26038
DOI: 10.1155/2020/5285147
author: Shuang-Shuang Zhou
author: Saima Rashid
author: Silvestru Sever Dragomir
author: Muhammad Amer Latif
author: Ahmet Ocak Akdemir
author: Jiabao Liu
published in: Journal of Function Spaces
publication date: 2020-05-12T00:00:00Z
review text: Summary: In this article, we present several new inequalities involving the \(\kappa\)-fractional integral for the integrable function \(\mathcal{F}\) which satisfies one of the following conditions: (a) \(|\mathcal{F}|^q\) is preinvex for some \(q>1\); (b) \(\mathcal{F}'\) is bounded; (c) \(\mathcal{F}'\) is a Lipschitz function. As applications, we establish new inequalities for the weighted arithmetic and generalized logarithmic means.
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 7199485
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/5285147
OpenAlex ID: W3023722396
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