Research Article

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

Volume: 2 Number: 3 September 30, 2019
EN

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

Abstract

In this paper, by using an integral identity some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose second derivatives in absolute value at certain power are arithmetically-harmonically convex are obtained. Some applications to special means of real numbers are also given.

Keywords

Convex function,Hermite- Hadamard and Bullen type inequality

References

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APA
Kadakal, M., & İşcan, İ. (2019). Inequalities of Hermite-Hadamard and Bullen Type for $AH$-Convex Functions. Universal Journal of Mathematics and Applications, 2(3), 152-158. https://doi.org/10.32323/ujma.559458
AMA
1.Kadakal M, İşcan İ. Inequalities of Hermite-Hadamard and Bullen Type for $AH$-Convex Functions. Univ. J. Math. Appl. 2019;2(3):152-158. doi:10.32323/ujma.559458
Chicago
Kadakal, Mahir, and İmdat İşcan. 2019. “Inequalities of Hermite-Hadamard and Bullen Type for $AH$-Convex Functions”. Universal Journal of Mathematics and Applications 2 (3): 152-58. https://doi.org/10.32323/ujma.559458.
EndNote
Kadakal M, İşcan İ (September 1, 2019) Inequalities of Hermite-Hadamard and Bullen Type for $AH$-Convex Functions. Universal Journal of Mathematics and Applications 2 3 152–158.
IEEE
[1]M. Kadakal and İ. İşcan, “Inequalities of Hermite-Hadamard and Bullen Type for $AH$-Convex Functions”, Univ. J. Math. Appl., vol. 2, no. 3, pp. 152–158, Sept. 2019, doi: 10.32323/ujma.559458.
ISNAD
Kadakal, Mahir - İşcan, İmdat. “Inequalities of Hermite-Hadamard and Bullen Type for $AH$-Convex Functions”. Universal Journal of Mathematics and Applications 2/3 (September 1, 2019): 152-158. https://doi.org/10.32323/ujma.559458.
JAMA
1.Kadakal M, İşcan İ. Inequalities of Hermite-Hadamard and Bullen Type for $AH$-Convex Functions. Univ. J. Math. Appl. 2019;2:152–158.
MLA
Kadakal, Mahir, and İmdat İşcan. “Inequalities of Hermite-Hadamard and Bullen Type for $AH$-Convex Functions”. Universal Journal of Mathematics and Applications, vol. 2, no. 3, Sept. 2019, pp. 152-8, doi:10.32323/ujma.559458.
Vancouver
1.Mahir Kadakal, İmdat İşcan. Inequalities of Hermite-Hadamard and Bullen Type for $AH$-Convex Functions. Univ. J. Math. Appl. 2019 Sep. 1;2(3):152-8. doi:10.32323/ujma.559458