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

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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… Click to show full 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 - 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.

Keywords: operator via; convex functions; integral operator; inequalities unified; unified integral

Journal Title: Journal of Mathematics
Year Published: 2020

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