Research Article

On Some Inequalities for Convex and s-Convex Functions

Volume: 4 Number: 1 May 31, 2018
EN

On Some Inequalities for Convex and s-Convex Functions

Abstract

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

Keywords

References

  1. [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. [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. [3] Hudzik, H., Maligranda, L., Some remarks on s-convex functions, Aequationes Math. 48 (1994), 100-111.
  4. [4] Kavurmaci, H., Bazı farklı türden konveks fonksiyonlar için Ostrowski ve Hermite-Hadamard tipli integral eşitsizlikleri, Ph. D. Thesis, Atatürk University, 2012.
  5. [5] Ostrowski, A., Uber die Absolutabweichung einer di¤erentierbaren Funktion von ihren Integralmittelwert, Comment. Math. Helv., 10 (1938), 226-227.
  6. [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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

May 31, 2018

Submission Date

April 27, 2018

Acceptance Date

May 31, 2018

Published in Issue

Year 2018 Volume: 4 Number: 1

APA
Gürbüz, M., Ozdemır, M. E., & Avcı Ardıç, M. (2018). On Some Inequalities for Convex and s-Convex Functions. Eastern Anatolian Journal of Science, 4(1), 37-44. https://izlik.org/JA73YK32SK
AMA
1.Gürbüz M, Ozdemır ME, Avcı Ardıç M. On Some Inequalities for Convex and s-Convex Functions. Eastern Anatolian Journal of Science. 2018;4(1):37-44. https://izlik.org/JA73YK32SK
Chicago
Gürbüz, Mustafa, M. Emin Ozdemır, and Merve Avcı Ardıç. 2018. “On Some Inequalities for Convex and S-Convex Functions”. Eastern Anatolian Journal of Science 4 (1): 37-44. https://izlik.org/JA73YK32SK.
EndNote
Gürbüz M, Ozdemır ME, Avcı Ardıç M (May 1, 2018) On Some Inequalities for Convex and s-Convex Functions. Eastern Anatolian Journal of Science 4 1 37–44.
IEEE
[1]M. Gürbüz, M. E. Ozdemır, and M. Avcı Ardıç, “On Some Inequalities for Convex and s-Convex Functions”, Eastern Anatolian Journal of Science, vol. 4, no. 1, pp. 37–44, May 2018, [Online]. Available: https://izlik.org/JA73YK32SK
ISNAD
Gürbüz, Mustafa - Ozdemır, M. Emin - Avcı Ardıç, Merve. “On Some Inequalities for Convex and S-Convex Functions”. Eastern Anatolian Journal of Science 4/1 (May 1, 2018): 37-44. https://izlik.org/JA73YK32SK.
JAMA
1.Gürbüz M, Ozdemır ME, Avcı Ardıç M. On Some Inequalities for Convex and s-Convex Functions. Eastern Anatolian Journal of Science. 2018;4:37–44.
MLA
Gürbüz, Mustafa, et al. “On Some Inequalities for Convex and S-Convex Functions”. Eastern Anatolian Journal of Science, vol. 4, no. 1, May 2018, pp. 37-44, https://izlik.org/JA73YK32SK.
Vancouver
1.Mustafa Gürbüz, M. Emin Ozdemır, Merve Avcı Ardıç. On Some Inequalities for Convex and s-Convex Functions. Eastern Anatolian Journal of Science [Internet]. 2018 May 1;4(1):37-44. Available from: https://izlik.org/JA73YK32SK