Fractional Hermite-Hadamard inequalities for (α,m)-logarithmically convex functions

By J. Deng, Jinrong Wang. Journal of Inequalities and Applications, 2013

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By means of two fundamental fractional integral identities, we derive two classes of new Hermite-Hadamard type inequalities involving Riemann-Liouville fractional integrals for once and twice differentiable (α,m)-logarithmically convex functions, respectively. The main novelty of this paper is that we use powerful series to describe our estimations. MSC:26A33, 26A51, 26D15.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/3888c6efdfe4523f3f8db4f725d7aa4345a55b40