%0 Journal Article %T Integral Inequalities of Hermite-Hadamard Type for <i>r</i>-Convex Functions %A Lingxiong Han %A Guofeng Liu %J Applied Mathematics %P 1967-1971 %@ 2152-7393 %D 2012 %I Scientific Research Publishing %R 10.4236/am.2012.312270 %X 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?lderĄ¯s integral inequality, Stolarsky mean and convexity of function. %K Hermite-Hadamard Integral Inequality %K < %K i> %K r< %K /i> %K -Convex Function %K Logarithmic Mean %K Stolarsky Mean %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=25595