Geodesic
Certain results associated with the strongly $\eta$-convex function with modulus $\mu\geq 0$
Eze R. Nwaeze1 ; Seth Kermausuor2 ; Eze R. Nwaeze ; Seth Kermausuor
1Department of Mathematics, Tuskegee University, Tuskegee, Alabama, USA
2Department of Mathematics and Computer Science, Alabama State University, Montgomery, Alabama,, USA
Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 1, pp. 61-74 
Eze R. Nwaeze; Seth Kermausuor; Eze R. Nwaeze; Seth Kermausuor. Certain results associated with the strongly $\eta$-convex function with modulus $\mu\geq 0$. Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 1, pp. 61-74. http://geodesic.mathdoc.fr/item/AMUC_2020_89_1_a6/
@article{AMUC_2020_89_1_a6,
     author = {Eze R. Nwaeze and Seth Kermausuor and Eze R. Nwaeze and Seth Kermausuor},
     title = { Certain results associated with the strongly $\eta$-convex function with modulus $\mu\geq 0$},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {61--74},
     year = {2020},
     volume = {89},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2020_89_1_a6/}
}
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Voir la notice de l'article provenant de la source Comenius University

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.