Journal
MATHEMATICAL AND COMPUTER MODELLING
Volume 54, Issue 9-10, Pages 2175-2182Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2011.05.026
Keywords
Convex function; Simpson inequality; Hermite-Hadamard's inequality
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In this paper, a general integral identity for convex functions is derived. Then, we establish some new inequalities of the Simpson and the Hermite-Hadamard type for functions whose absolute values of derivatives are convex. Some applications for special means of real numbers are also provided. (C) 2011 Elsevier Ltd. All rights reserved.
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