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:
W. Sulaiman, "Refinements to Hadamard’s Inequality for Log-Convex Functions,"
Applied Mathematics, Vol. 2 No. 7, 2011, pp. 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.
|