Research Article
BibTex RIS Cite

On Some Inequalities for Convex and s-Convex Functions

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

Abstract

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

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

Abstract

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.
There are 6 citations in total.

Details

Primary Language English
Journal Section makaleler
Authors

Mustafa Gürbüz 0000-0002-7092-4298

M. Emin Ozdemır

Merve Avcı Ardıç

Publication Date May 31, 2018
Published in Issue Year 2018 Volume: 4 Issue: 1

Cite

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.
AMA Gürbüz M, Ozdemır ME, Avcı Ardıç M. On Some Inequalities for Convex and s-Convex Functions. Eastern Anatolian Journal of Science. May 2018;4(1):37-44.
Chicago Gürbüz, Mustafa, M. Emin Ozdemır, and Merve Avcı Ardıç. “On Some Inequalities for Convex and S-Convex Functions”. Eastern Anatolian Journal of Science 4, no. 1 (May 2018): 37-44.
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 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, 2018.
ISNAD Gürbüz, Mustafa et al. “On Some Inequalities for Convex and S-Convex Functions”. Eastern Anatolian Journal of Science 4/1 (May 2018), 37-44.
JAMA 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, 2018, pp. 37-44.
Vancouver 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.