Abstract

HERNANDEZ H, Jorge E  and  GOMEZ, Juan Francisco. Desigualdades de tipo Hermite-Hadamard, procesos estocásticos convexos y la integral fraccionaria de Katugampola. Integración - UIS [online]. 2018, vol.36, n.2, pp.133-149. ISSN 0120-419X.  https://doi.org/10.18273/revint.v36n2-2018005.

In this work we present some Hermite-Hadamard type inequalities for convex Stochastic Processes using the Katugampola fractional integral, and from these results specific cases are deduced for the Riemann-Liouville fractional integral and Riemann integral. Also, a refinement of the aforementioned inequality is presented.

MSC2010: 60E15, 26B25, 26A33.

Keywords : Hermite-Hadamard inequality; Stochastic Processes; Fractional Integrals.

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