Title of article
Hermite-Hadamard Type Inequalities for MφA-Convex Functions
Author/Authors
Turhan, S. Department of Mathematics - University of Giresun, Giresun, Turkey , Kunt, M. Department of Mathematics - University of Karadeniz Technical, Trabzon, Turkey , İşcan, İ Department of Mathematics - University of Giresun, Giresun, Turkey
Pages
19
From page
57
To page
75
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
Journal title
International Journal of Mathematical Modelling and Computations
Serial Year
2020
Record number
2535517
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