P. M. Gill, C. E. M. Pearce and J. Pe?ari?, “Hadamard’s Inequality for r-Convex Functions,” Journal of Mathematical Analysis and Applications, Vol. 215, No. 2, 1997, pp. 461-470. doi:10.1006/jmaa.1997.5645

has been cited by the following article:

• 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.