Hermite-Hadamard Type Inequalities for MφA-Convex Functions

International Journal of Mathematical Modelling & Computations

مقاله 5، دوره 10، 1 (WINTER) - شماره پیاپی 37، خرداد 2020، صفحه 57-75   

نوع مقاله: Full Length Article

نویسندگان

Sercan Turhan^{* 1}؛ Mehmet Kunt²؛ İmdat İşcan¹

¹Department of Mathematics, University of Giresun, Giresun, Turkey

²Department of Mathematics, University of Karadeniz Technical, Trabzon, Turkey

چکیده

This article deals with the different classes of convexity and generalizations. Firstly, we reveal the new generalization of the definition of convexity that can reduce many order of convexity. We have showed features of algebra for this new convex function. Then after we have constituted Hermite-Hadamard type inequalities for this class of functions. Finally the identity has been revealed for its by us and by using this identity, then theorems and corollaries have been obtained.

کلیدواژه‌ها

$M_{varphi }A$-convex function؛ Hermite-Hadamard type inequality, $GA$-convex function, convex function, harmonically convex function