Inequalities for a Unified Integral Operator via α,m-Convex Functions

Baizhu Ni, Ghulam Farid, Kahkashan Mahreen and Tepper L Gill

Journal of Mathematics, 2020, vol. 2020, 1-9

Abstract: Recently, a unified integral operator has been introduced by Farid, 2020, which produces several kinds of known fractional and conformable integral operators defined in recent decades (Kwun, 2019, Remarks 6 and 7). The aim of this paper is to establish bounds of this unified integral operator by means of α,m-convex functions. The resulting inequalities provide the bounds of all associated fractional and conformable integral operators in a compact form. Also, the results of this paper hold for different kinds of convex functions connected with α,m-convex functions.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2345416

DOI: 10.1155/2020/2345416

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