General inequalities related Hermite-Hadamard inequality for generalized fractional integrals


Kavurmac-Onalan H. , SET E., Gozpinar A.

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, cilt.64, ss.453-465, 2019 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 64 Konu: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.24193/subbmath.2019.4.01
  • Dergi Adı: STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA
  • Sayfa Sayıları: ss.453-465

Özet

In this article, we first establish a new general integral identity for differentiable functions with the help of generalized fractional integral operators introduced by Raina [8] and Agarwal et al. [1]. As a second, by using this identity we obtain some new fractional Hermite-Hadamard type inequalities for functions whose absolute values of first derivatives are convex. Relevant connections of the results presented here with those involving Riemann-Liouville fractional integrals are also pointed out.