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, cilt.9, sa.2, ss.431-441, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s40065-019-0255-7
  • Dergi Adı: Arabian Journal of Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.431-441
  • Anahtar Kelimeler: 26A51, 26A33, 26D10
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

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).