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Bounds for the Remainder in Simpson’s Inequality vian-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals

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The goal of this paper is to derive some new variants of Simpson’s inequality using the class of - polynomial convex functions of higher order. To obtain the main results… Click to show full abstract

The goal of this paper is to derive some new variants of Simpson’s inequality using the class of - 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 new fractional integral identity will serve as an auxiliary result in the development of the main results of this paper.

Keywords: polynomial convex; convex functions; higher order; simpson inequality; katugampola fractional; functions higher

Journal Title: Journal of Mathematics
Year Published: 2020

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