New Riemann–Liouville fractional Hermite–Hadamard type inequalities for harmonically convex functions

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Şanlı Z., Kunt M., Köroğlu T.

Arabian Journal of Mathematics, vol.9, no.2, pp.431-441, 2020 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 2
  • Publication Date: 2020
  • Doi Number: 10.1007/s40065-019-0255-7
  • Journal Name: Arabian Journal of Mathematics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.431-441
  • Keywords: 26A51, 26A33, 26D10
  • Karadeniz Technical University Affiliated: Yes

Abstract

Inthispaper,weprovedtwonewRiemann–LiouvillefractionalHermite–Hadamardtypeinequalities for harmonically convex functions using the left and right fractional integrals independently. Also, we have two new Riemann–Liouville fractional trapezoidal type identities for differentiable functions. Using these identities, we obtained some new trapezoidal type inequalities for harmonically convex functions. Our results generalize the results given by ̇Is ̧can (Hacet J Math Stat 46(6):935–942, 2014).