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J. Pecaric, F. Proschan and Y.L. Tong, Convex functions, partial ordering and statistical applications, Academic Press, New York, 1991.

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Article

On the Generalization of Simpson Type Inequalities for Quasi-convex Functions

1Department of Mathematics, Ordu University, Faculty of Science and Letters, Ordu, Turkey

2Department of Elementary Education, Faculty of Education, Uludağ University, Bursa, Turkey

3Department of Mathematics, Ağrı İbrahim Çeçen University, Faculty of Science and Letters, 04100, Ağrı, Turkey


Turkish Journal of Analysis and Number Theory. 2016, Vol. 4 No. 2, 44-47
DOI: 10.12691/tjant-4-2-4
Copyright © 2016 Science and Education Publishing

Cite this paper:
Erhan Set, M. Emin Özdemir, Ahmet Ocak Akdemir. On the Generalization of Simpson Type Inequalities for Quasi-convex Functions. Turkish Journal of Analysis and Number Theory. 2016; 4(2):44-47. doi: 10.12691/tjant-4-2-4.

Correspondence to: Erhan  Set, Department of Mathematics, Ordu University, Faculty of Science and Letters, Ordu, Turkey. Email: erhanset@yahoo.com

Abstract

In this paper, we establish the generalization of inequalities of the Simpson type for functions whose absolute values of derivatives are quasi-convex.

Keywords