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Integral Inequalities of Hermite-Hadamard Type for Functions Whose 3rd Derivatives Are <i>s</i>-Convex
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
- 1 College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, China
- 2 Department of Mathematics, School of Science, Tianjin Polytechnic University, Tianjin City, China
Applied Mathematics·Volume 03 (2012)·Pages 1680–1685·Published 7 November 2012·DOI10.4236/am.2012.311232
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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.
KeywordsIntegral InequalityHermite-Hadamard’s Integral Inequalitys-Convex FunctionDerivativeMean
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