Document Type : Research Paper

Authors

• Ilknur Yesilce ¹
• Gabil Adilov ²

¹ Mersin University, Faculty of Science and Letters, Department of Mathematics, 33343, Mersin, Turkey

² Akdeniz University, Faculty of Education, Department of Mathematics, 07058, Antalya, Turkey

Abstract

Hermite-Hadamard inequality is one of the fundamental applications of convex functions in Theory of Inequality. In this paper, Hermite-Hadamard inequalities for $\mathbb{B}$-convex and $\mathbb{B}^{-1}$-convex functions are proven.

Keywords

• Hermite-Hadamard inequality
• $mathbb{B}$-convex functions
• $mathbb{B}^{-1}$-convex functions
• abstract convexity