By using two fundamental fractional integral identities, we deduce some new Hermite–Hadamard-type inequalities for differentiable r-convex functions and twice-differentiable r-convex functions involving Riemann–Liouville fractional integrals.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 2, pp. 175–191, February, 2013.
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Wang, J., Deng, J. & Fečkan, M. Hermite–Hadamard-type inequalities for r-convex functions based on the use of Riemann–Liouville fractional integrals. Ukr Math J 65, 193–211 (2013). https://doi.org/10.1007/s11253-013-0773-y
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DOI: https://doi.org/10.1007/s11253-013-0773-y