Hermite-Hadamard type fractional integral inequalities for MT$_{(m,\varphi)}$-preinvex functions
DOI:
https://doi.org/10.24193/subbmath.2017.4.03Keywords:
Hermite-Hadamard type inequality, MT-convex function, H\"{o}lder's inequality, power mean inequality, Riemann-Liouville fractional integral, $m$-invex, $P$-function.Abstract
In the present paper, the notion of MT$_{(m,\varphi)}$-preinvex function is introduced. Moreover, some generalizations of Hermite-Hadamard type inequalities for MT$_{(m,\varphi)}$-preinvex functions that are twice differentiable via Riemann-Liouville fractional integrals are established. At the end, some applications to special means are given. These general inequalities give us some new estimates for Hermite-Hadamard type fractional integral inequalities.References
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