Integral Inequalities of Hermite-Hadamard Type for Functions Whose 3rd Derivatives Are s-Convex - Applied Mathematics

AM > Vol.3 No.11, November 2012

Integral Inequalities of Hermite-Hadamard Type for Functions Whose 3rd Derivatives Are s-Convex ()

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DOI: 10.4236/am.2012.311232 8,720 Downloads 13,792 Views Citations

Author(s)

Ling Chun, Feng Qi

Affiliation(s)

College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, China.
Department of Mathematics, School of Science, Tianjin Polytechnic University, Tianjin City, China.

ABSTRACT

In the paper, the authors find some new inequalities of Hermite-Hadamard type for functions whose third derivatives are s-convex and apply these inequalities to discover inequalities for special means.

KEYWORDS

Integral Inequality; Hermite-Hadamard’s Integral Inequality; s-Convex Function; Derivative; Mean

Share and Cite:

L. Chun and F. Qi, "Integral Inequalities of Hermite-Hadamard Type for Functions Whose 3rd Derivatives Are s-Convex," Applied Mathematics, Vol. 3 No. 11, 2012, pp. 1680-1685. doi: 10.4236/am.2012.311232.

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