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Some Fractional Integral Inequalities for a Generalized Class of Nonconvex Functions

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Listed:
  • Yeliang Xiao
  • Muhammad Shoaib Saleem
  • Faiza Batool

Abstract

Fractional integral inequalities help to solve many difference equations. In this paper, we present some fractional integral inequalities for generalized harmonic nonconvex functions. Moreover, we also present applications of developed inequalities.

Suggested Citation

  • Yeliang Xiao & Muhammad Shoaib Saleem & Faiza Batool, 2022. "Some Fractional Integral Inequalities for a Generalized Class of Nonconvex Functions," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:3476461
    DOI: 10.1155/2022/3476461
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    References listed on IDEAS

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    1. Mihai, Marcela V. & Noor, Muhammad Aslam & Noor, Khalida Inayat & Awan, Muhammad Uzair, 2015. "Some integral inequalities for harmonic h-convex functions involving hypergeometric functions," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 257-262.
    2. Feixiang Chen & Shanhe Wu, 2014. "Fejér and Hermite‐Hadamard Type Inequalities for Harmonically Convex Functions," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    3. Qiong Kang & Saad Ihsan Butt & Waqas Nazeer & Mehroz Nadeem & Jamshed Nasir & Hong Yang & Sei-Ichiro Ueki, 2020. "New Variant of Hermite–Jensen–Mercer Inequalities via Riemann–Liouville Fractional Integral Operators," Journal of Mathematics, Hindawi, vol. 2020, pages 1-14, August.
    4. Feixiang Chen & Shanhe Wu, 2014. "Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-6, August.
    5. İmdat İşcan, 2014. "Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable Harmonically Convex Functions," Journal of Mathematics, Hindawi, vol. 2014, pages 1-10, June.
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