Integral inequalities of Hermite-Hadamard type for exponentially subadditive functions

Abstract

In this paper, we introduce a new class of functions, which is called exponentially subadditive functions. We establish Hermite-Hadamard inequalities via exponentially subadditive functions. We also give some related inequalities according with Hermite-Hadamard inequalities. Results obtained in this paper can be viewed as generalization of previously known results.

Keywords

• subadditive function
• exponentially subadditive function
• hermite-hadamard inequalities