Author(s)

Lingxiong Han, Guofeng Liu

College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, China.

The main aim of this present note is to establish three new Hermite-Hadamard type integral inequalities for r-convex functions. The three new Hermite-Hadamard type integral inequalities for r-convex functions improve the result of original one by H?lder’s integral inequality, Stolarsky mean and convexity of function.

Hermite-Hadamard Integral Inequality;r-Convex Function; Logarithmic Mean; Stolarsky Mean

L. Han and G. Liu, "Integral Inequalities of Hermite-Hadamard Type for r-Convex Functions," Applied Mathematics, Vol. 3 No. 12, 2012, pp. 1967-1971. doi: 10.4236/am.2012.312270.