Refinements to Hadamard’s Inequality for Log-Convex Functions ()
Abstract
In this paper we show that a log-convex function satisfies Hadamard's inequality, as well as we give an extension for this result in several directions.
Share and Cite:
Sulaiman, W. (2011) Refinements to Hadamard’s Inequality for Log-Convex Functions.
Applied Mathematics,
2, 899-903. doi:
10.4236/am.2011.27120.
Conflicts of Interest
The authors declare no conflicts of interest.
References
[1]
|
L. Fejér, “Uber die Fourierreihen, II,” Math. Naturwiss Anz. Ungar. Akad. Wiss, Hungarian, Vol. 24, 1906, pp. 369-390.
|
[2]
|
P. M. Gill, C. E. M. Pearse and J. Pe?ari?, “Hadamard’s Inequality for R-Convex Functions,” Mathematical In-equalities & Applications, Vol. 215, No. 2, 1997, pp. 461-470.
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