Integral Inequalities of Hermite-Hadamard Type for r-Convex Functions

Lingxiong Han, Guofeng Liu

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

DOI: 10.4236/am.2012.312270                

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.

Keywords

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

Conflicts of Interest

The authors declare no conflicts of interest.

References

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