New inequalities for Hermite-Hadamard and Simpson type with applications

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Published: Jun 30, 2013
DOI: https://doi.org/10.5556/j.tkjm.44.2013.1179
Keywords:
P-convex functions Hermite-Hadamard inequality Simpson inequality Power mean inequality.

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M. Emin Özdemir
AtatÜRk University, K. K. Education Faculty, Department ofMathematics, 25240, Campus, Erzurum, Turkey.
Çetin Yildiz
AtatÜRk University, K. K. Education Faculty, Department ofMathematics, 25240, Campus, Erzurum, Turkey.

Abstract

In this paper, we obtain new bounds for the inequalities of Simpson and Hermite-Hadamard type for functions whose second derivatives absolute values are $P$-convex. Some applications for special means of real numbers are also given.

Article Details

How to Cite
Özdemir, M. E., & Yildiz, Çetin. (2013). New inequalities for Hermite-Hadamard and Simpson type with applications. Tamkang Journal of Mathematics, 44(2), 209–216. https://doi.org/10.5556/j.tkjm.44.2013.1179
Issue
Vol. 44 No. 2 (2013)
Section
Papers

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