On Some Inequalities for Convex and s-Convex Functions

Year 2018, Volume: 4 Issue: 1, 37 - 44, 31.05.2018

Mustafa Gürbüz , M. Emin Ozdemır , Merve Avcı Ardıç

https://izlik.org/JA73YK32SK

Abstract

In this paper, we present some integral inequalities for convex and s-convex functions and we give some remarks and corollaries.

Keywords

Convex functions , Hermite-Hadamard Inequality , s-convex functions.

References

• [1] Alomari, M.W., A companion of Dragomir's generalization of Ostrowski's inequality and applications in numerical integration, RGMIA Res. Rep. Coll., Vol. 14, Article 50, 2011.
• [2] Alomari, M.W., Özdemir, M.E., and Kavurmaci, H., On companion of Ostrowski inequality for mappings whose first derivatives absolute value are convex with applications, Miskolch Mathematical Notes, 13(2) (2012), 233-248.
• [3] Hudzik, H., Maligranda, L., Some remarks on s-convex functions, Aequationes Math. 48 (1994), 100-111.
• [4] Kavurmaci, H., Bazı farklı türden konveks fonksiyonlar için Ostrowski ve Hermite-Hadamard tipli integral eşitsizlikleri, Ph. D. Thesis, Atatürk University, 2012.
• [5] Ostrowski, A., Uber die Absolutabweichung einer di¤erentierbaren Funktion von ihren Integralmittelwert, Comment. Math. Helv., 10 (1938), 226-227.
• [6] Kashuri, A., Liko, R. and Du, T., Some New Ostrowski Type Inequalities Concerning Differentiable Generalized Relative Semi-(r; m; p; q; h1; h2)-Preinvex Mappings, Turkish Journal of Analysis and Number Theory, 6 (1) (2018), 16-29.