Generalization of Hermite-Hadamard type inequalities for n-times differentiable functions which are s-preinvex in the second sense with applications

作者：Latif Muhammad Amer^*; Dragomir Svere S

来源：Hacettepe Journal of Mathematics and Statistics, 2015, 44(4): 839-853.

DOI：10.15672/hjms.2015449438

• Hermite-Hadamard's inequality
• invex set
• preinvex function
• Holder's inequality
• s-preinvex function

In this paper, Hermite-Hadamard inequality for differentiable preinvex functions is generalized and refined for n-times differentiable functions which are s-preinvex in the second sense. Some recent results are also improved and applications to special means of positive numbers are given.

• 出版日期2015-8