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Integral Inequalities of Hermite-Hadamard Type for <i>r</i>-Convex Functions
College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, China
College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, China
- 1 College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, China
- 2 College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, China
Applied Mathematics·Volume 03 (2012)·Pages 1967–1971·Published 12 December 2012·DOI10.4236/am.2012.312270
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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.
KeywordsHermite-Hadamard Integral Inequality<i>r</i>-Convex FunctionLogarithmic MeanStolarsky Mean
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