On new inequalities of Simpson's type for quasi-convex functions with applications.

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Published: Sep 30, 2012
DOI: https://doi.org/10.5556/j.tkjm.43.2012.616
Keywords:
Simpson's inequality quasi-convex function.

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Erhan Set
Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce, Turkey
M.Emin Özdemir
Atatürk University, K.K. Education Faculty, Department of Mathematics, Erzurum, Turkey
Mehmet Zeki Sarıkaya
Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce, Turkey

Abstract

In this paper, we introduce some inequalities of Simpson's type based on quasi-convexity.Some applications for special means of real numbers are also given.

Article Details

How to Cite
Set, E., Özdemir, M., & Sarıkaya, M. Z. (2012). On new inequalities of Simpson’s type for quasi-convex functions with applications. Tamkang Journal of Mathematics, 43(3), 357–364. https://doi.org/10.5556/j.tkjm.43.2012.616
Issue
Vol. 43 No. 3 (2012)
Section
Papers

References

M. Alomari, M. Darus and S. S. Dragomir, New inequalities of Simpson's type for s-convex functions with applications, RGMIA Res. Rep. Coll., 12(4) (2009), Article 9.[Online:http://www.staff.vu.edu.au/RGMIA/v12n4.asp]

S. S. Dragomir, R. P. Agarwal and P. Cerone, On Simpson'sinequality and applications, J. of Inequal. Appl.,

(2000), 533-579.

D. A. Ion, Some estimates on the Hermite-Hadamard

inequality through quasi-convex functions, Annals of University of Craiova Math. Comp. Sci. Ser., 34(2007), 82-87.

Z. Liu, An inequality of Simpson type, Proc. R. Soc.

London. Ser A, 461 (2005), 2155-2158.

J. Pev{c}ari'{c}, F. Proschan and Y. L. Tong, Convex

Functions, Partial Ordering and Statistical Applications, Academic Press, New York, 1991.