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- MakaleAçık Erişim2025Scopus SJRQ2SOME NEW INEQUALITIES FOR DIFFERENTIABLE ARITHMETIC-HARMONICALLY CONVEX FUNCTIONS
Kadakal, Mahir; Agarwal, Praveen; İŞcan, İMdat
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.
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İncele - MakaleYayıncıda açık erişim2024Scopus SJRQ2Generalized strongly n-polynomial convex functions and related inequalities
Özcan, Serap; Kadakal, Mahir; İşcan, İmdat; Kadakal, Huriye
This paper focuses on introducing and examining the class of generalized strongly n-polynomial convex functions. Relationships between these functions and other types of convex functions are explored. The Hermite–Hadamard inequality is established for generalized strongly n-polynomial convex functions. Additionally, new integral inequalities of Hermite–Hadamard type are derived for this class of functions using the Hölder–İşcan integral inequality. The results obtained in this paper are compared with those known in the literature, demonstrating the superiority of the new results. Finally, some applications for special means are provided.
AtıfScopus5WoS5OpenAlex6İncele