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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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