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

DOI: 10.4236/am.2012.312270, PP. 1967-1971

Keywords: Hermite-Hadamard Integral Inequality,r-Convex Function, Logarithmic Mean, Stolarsky Mean

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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.

References

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