- Konuralp Journal of Mathematics
- Vol: 7 Issue: 2
- Inequalities of Hermite-Hadamard and Bullen Type for Three Times Differentiable $AH$-Convex Function...
Inequalities of Hermite-Hadamard and Bullen Type for Three Times Differentiable $AH$-Convex Functions
Authors : Huriye Kadakal, Kerim Bekar
Pages : 442-448
View : 9 | Download : 5
Publication Date : 2019-10-15
Article Type : Research
Abstract :In this paper, after introducing a new integral identity, by using this integral identity we obtain some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose third derivatives in absolute value at certain power are arithmetically-harmonically convex. Some applications to special means of real numbers are also given.Keywords : Convex function, AH-convex function, Hermite-Hadamard and Bullen type inequality