Inequalities of Hermite-Hadamard and Bullen Type for Three Times Differentiable $AH$-Convex Functions

Year 2019, Volume: 7 Issue: 2, 442 - 448, 15.10.2019

Huriye Kadakal , Kerim Bekar

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

References

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