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Some Generalized Fractional Integral Inequalities via Harmonic Convex Functions and Their Applications

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  • Muhammad Uzair Awan
  • Nousheen Akhtar
  • Mustapha Raïssouli
  • Artion Kashuri
  • Muhammad Zakria Javed
  • Muhammad Aslam Noor
  • Thanin Sitthiwirattham

Abstract

The aim of this paper is to derive from an auxiliary identity some new generalizations of fractional integral inequalities of Simpson, midpoint, and trapezoid using the class of harmonic convex functions. To show that our results are quite unifying, we discuss several new special cases. Finally, some applications regarding error estimations for the Simpson quadrature formula are presented to support our theoretical results.

Suggested Citation

  • Muhammad Uzair Awan & Nousheen Akhtar & Mustapha Raïssouli & Artion Kashuri & Muhammad Zakria Javed & Muhammad Aslam Noor & Thanin Sitthiwirattham, 2022. "Some Generalized Fractional Integral Inequalities via Harmonic Convex Functions and Their Applications," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-27, June.
    • Handle: RePEc:hin:jnlmpe:4173915
    DOI: 10.1155/2022/4173915
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