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

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  • Yu-Ming Chu
  • Muhammad Uzair Awan
  • Muhammad Zakria Javad
  • Awais Gul Khan
  • Efthymios G. Tsionas

Abstract

The goal of this paper is to derive some new variants of Simpson’s inequality using the class of n-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.

Suggested Citation

  • Yu-Ming Chu & Muhammad Uzair Awan & Muhammad Zakria Javad & Awais Gul Khan & Efthymios G. Tsionas, 2020. "Bounds for the Remainder in Simpson’s Inequality via n-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals," Journal of Mathematics, Hindawi, vol. 2020, pages 1-10, August.
    • Handle: RePEc:hin:jjmath:4189036
    DOI: 10.1155/2020/4189036
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