Volume 6, Number 2, 2016, Pages 293-305 DOI:10.11948/2016023 |
More results on Hermite-Hadamard type inequality through} $(\alpha ,m)$-preinvexity |
Sabir Hussain,Shahid Qaisar |
Keywords:Hermite-Hadamard type inequality, preinvex function, invex set,
power-mean inequality, Holder's integral inequality, $\left(
{\alpha ,m} \right)$-preinvex function |
Abstract: |
We establish various inequalities for n-times differentiable
mappings that are connected with illustrious Hermite-Hadamard
integral inequality for mapping whose absolute values of
derivatives are $\left( {\alpha ,m} \right)$-preinvex function.
The new integral inequalities are then applied to some special
means |
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