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  • Küçük Resim
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    New generalization of Hermite-Hadamard type inequalities via generalized fractional integrals
    (Univ Craiova, 2020) Budak, Huseyin; Ertugral, Fatma; Sarikaya, Mehmet Zeki
    In this paper we obtain new generalization of Hermite-Hadamard inequalities via generalized fractional integrals defined by Sarikaya and Ertugral. We establish some midpoint and trapezoid type inequalities for functions whose first derivatives in absolute value are convex involving generalized fractional integrals.
  • Küçük Resim
    Öğe
    On the generalized Hermite-Hadamard inequalities
    (Univ Craiova, 2020) Sarikaya, Mehmet Zeki; Ertugral, Fatma
    In this paper, we present a new definition which generalizes some significant well known fractional integral operators such as Riemann-Liouville fractional integral, k-Riemann-Liouville fractional integral, Katugampola fractional operators, conformable fractional integral, Hadamard fractional integrals, etc. Then, using a general class of this generalized fractional integral operator, we establish new generalized fractional integral inequalities of Hermite-Hadamard type which cover the previously published results.