Certain results associated with the strongly $\eta$-convex function with modulus $\mu\geq 0$

Abstract

We establish four new results for functions whose second derivatives in absolute value are strongly $\eta$-convex. Our theorems generalize some results in the literature. By taking different bifunctionals $\eta:\mathbb{R}\times\mathbb{R}\rightarrow\mathbb{R}$ with corresponding values of the modulus $\mu\geq 0$, we obtain more interesting integral inequalities. Some new results are also obtained as drop out of our main results.