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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. (English) Zbl 1280.26044

Ukr. Math. J. 65, No. 2, 193-211 (2013) and Ukr. Mat. Zh. 65, No. 2, 175-191 (2013).
Summary: 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.

Cited in 21 Documents

MSC:

26D15 Inequalities for sums, series and integrals
26A33 Fractional derivatives and integrals

Keywords:

fractional integral identities; Hermite-Hadamard-type inequalities; differentiable \(r\)-convex functions
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Full Text: DOI

References:

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