Geodesic
Some new Inequalities for Differentiable Arithmetic-Harmonically Convex Functions
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 5, p. 669

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In this study, by using an integral identity together with both the Hölder and the power-mean inequalities for integrals we establish several new inequalities for differentiable arithmetic-harmonically-convex function. Also, we give some applications for special means.
Classification : 26A51, 26D15
Keywords: convex function, arithmetic-harmonically convex function Hermite-Hadamard’s inequality. 
Mahir Kadakal; Praveen Agarwal; İmdat İşcan. Some new Inequalities for Differentiable Arithmetic-Harmonically Convex Functions. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 5, p. 669 . http://geodesic.mathdoc.fr/item/KJM_2025_49_5_a0/
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