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

AM > Vol.3 No.12, December 2012

Applied Mathematics

Volume 3, Issue 12 (December 2012)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.96 Citations

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

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DOI: 10.4236/am.2012.312270 4,062 Downloads 6,712 Views Citations

Author(s)

Lingxiong Han, Guofeng Liu

Affiliation(s)

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.

KEYWORDS

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

Share and Cite:

Han, L. and Liu, G. (2012) Integral Inequalities of Hermite-Hadamard Type for r-Convex Functions. Applied Mathematics, 3, 1967-1971. doi: 10.4236/am.2012.312270.

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