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

Affiliation(s)

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

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

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.

The main aim of this present note is to establish three new Hermite-Hadamard type integral inequalities for

Cite this paper

L. Han and G. Liu, "Integral Inequalities of Hermite-Hadamard Type for*r*-Convex Functions," *Applied Mathematics*, Vol. 3 No. 12, 2012, pp. 1967-1971. doi: 10.4236/am.2012.312270.

L. Han and G. Liu, "Integral Inequalities of Hermite-Hadamard Type for

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