TITLE:
Integral Inequalities of Hermite-Hadamard Type for r-Convex Functions
AUTHORS:
Lingxiong Han, Guofeng Liu
KEYWORDS:
Hermite-Hadamard Integral Inequality;r-Convex Function; Logarithmic Mean; Stolarsky Mean
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.12,
December
21,
2012
ABSTRACT: 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.