Hermite-Hadamard Type Inequalities for MφA-Convex Functions

Author(s):

Sercan Turhan * , Mehmet Kunt , İmdat İşcan

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:
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.
Keywords:

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

Language:
English
Published:
International Journal of Mathematical Modelling & Computations, Volume:10 Issue: 1, Winter 2020
Pages:
57 to 75
https://www.magiran.com/p2147035