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 -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 -convex functions.

中文翻译：

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-凸函数对统一积分算子的不等式

最近，Farid（2020）引入了一个统一的积分算子，该算子产生了近几十年来定义的几种已知的分数和一致积分算子（Kwun，2019，备注6和7）。本文的目的是通过以下方式建立该统一积分算子的边界-凸函数。由此产生的不等式以紧凑的形式提供了所有相关的分数和一致积分算子的界限。同样，本文的结果适用于与-凸函数。