On the generalized Hermite-Hadamard inequalities

Mehmet Zeki Sarikaya, Fatma Ertugral


In this paper, we present a new definition which generalized 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 puplished results

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DOI: https://doi.org/10.52846/ami.v47i1.1139