- Turkish Journal of Science
- Vol: 7 Issue: 3
- Exponentially $m-$ and $(\\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities
Exponentially $m-$ and $(\\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities
Authors : Sinan Aslan, Ahmet Ocak Akdemir, Mustafa Ali Dokuyucu
Pages : 231-244
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Publication Date : 2022-12-30
Article Type : Research
Abstract :In the present paper, new classes of convexity, namely, exponentially $m-$ and$(\\alpha,m)-$convex functions on the co-ordinates are defined. Then, some new integral inequalities are proved by using some classical inequalities and properties of exponentially $m-$ ad $(\\alpha,m)-$convex functions on the co-ordinates.Keywords : coordinates, exponentially convex functions, Hölder inequality