Refinements to Hadamard’s Inequality for Log-Convex Functions

Waadallah T.  Sulaiman

doi:10.4236/am.2011.27120

Search Menu Sign in

Journals by Subject

Journals by Title

AM Vol.2 No.7 , July 2011

Refinements to Hadamard’s Inequality for Log-Convex Functions

Waadallah T. Sulaiman

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.

Keywords: Log-Convex Functions, Hadamard’s Inequality, Integral Inequality

Cite this paper: nullW. 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.

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.