Some inequalities for differentiable convex mapping with application to weighted midpoint formula and higher moments of random variables
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摘要
Connected with the celebrated Hermite–Hadamard integral inequality, several new inequalities for differentiable convex, wright-convex and quasi-convex mapping are established. Applications of these results are considered in error estimates for weighted Midpoint integral formula and in deriving the inequalities involving higher moments of random variables.
论文关键词：Hermite–Hadamard inequality,Convex function,Wright-convex function,Quasi-convex function,Integral inequalities,Midpoint formula
论文评审过程：Available online 4 February 2014.
论文官网地址：https://doi.org/10.1016/j.amc.2014.01.050
