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Bounds for the Remainder in Simpson’s Inequality via<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>n</mml:mi></mml:math>-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals
The goal of this paper is to derive some new variants of Simpson’s inequality using the class of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mi>n</mml:mi></mml:math>-polynomial convex functions of higher order. To obtain the main results of the paper, we first derive a new generalized fractional integral identity utilizing the concepts of Katugampola fractional integrals. This …